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Finding the Third Proportional to 251,923,590,276 and 555,197,231,420

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Solution

The third proportional to 251,923,590,276 and 555,197,231,420 is: 1,223,561,340,320.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,923,590,276 : 555,197,231,420 = 555,197,231,420 : x
  2. Step 2: Convert to fraction form
    251,923,590,276/555,197,231,420 = 555,197,231,420/x
  3. Step 3: Cross multiply
    251,923,590,276x = 555,197,231,420 × 555,197,231,420
  4. Step 4: Simplify right side
    251,923,590,276x = 308,243,965,776,433,036,394,496
  5. Step 5: Solve for x
    x = 308,243,965,776,433,036,394,496/251,923,590,276
  6. Step 6: Final answer
    x = 1,223,561,340,320.41

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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.