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Finding the Third Proportional to 132,625,502,554 and 288,488,365,377

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Solution

The third proportional to 132,625,502,554 and 288,488,365,377 is: 627,522,877,238.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,625,502,554 : 288,488,365,377 = 288,488,365,377 : x
  2. Step 2: Convert to fraction form
    132,625,502,554/288,488,365,377 = 288,488,365,377/x
  3. Step 3: Cross multiply
    132,625,502,554x = 288,488,365,377 × 288,488,365,377
  4. Step 4: Simplify right side
    132,625,502,554x = 83,225,536,957,893,446,729,728
  5. Step 5: Solve for x
    x = 83,225,536,957,893,446,729,728/132,625,502,554
  6. Step 6: Final answer
    x = 627,522,877,238.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.