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Finding the Third Proportional to 251,923,602,456 and 555,197,259,732

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Solution

The third proportional to 251,923,602,456 and 555,197,259,732 is: 1,223,561,405,953.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,923,602,456 : 555,197,259,732 = 555,197,259,732 : x
  2. Step 2: Convert to fraction form
    251,923,602,456/555,197,259,732 = 555,197,259,732/x
  3. Step 3: Cross multiply
    251,923,602,456x = 555,197,259,732 × 555,197,259,732
  4. Step 4: Simplify right side
    251,923,602,456x = 308,243,997,213,921,894,203,392
  5. Step 5: Solve for x
    x = 308,243,997,213,921,894,203,392/251,923,602,456
  6. Step 6: Final answer
    x = 1,223,561,405,953.45

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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.