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Finding the Third Proportional to 251,923,590,280 and 555,197,231,428

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Solution

The third proportional to 251,923,590,280 and 555,197,231,428 is: 1,223,561,340,336.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,923,590,280 : 555,197,231,428 = 555,197,231,428 : x
  2. Step 2: Convert to fraction form
    251,923,590,280/555,197,231,428 = 555,197,231,428/x
  3. Step 3: Cross multiply
    251,923,590,280x = 555,197,231,428 × 555,197,231,428
  4. Step 4: Simplify right side
    251,923,590,280x = 308,243,965,785,316,169,613,312
  5. Step 5: Solve for x
    x = 308,243,965,785,316,169,613,312/251,923,590,280
  6. Step 6: Final answer
    x = 1,223,561,340,336.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.