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Finding the Third Proportional to 142,177,691,286 and 296,123,346,468

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Solution

The third proportional to 142,177,691,286 and 296,123,346,468 is: 616,756,648,179.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,177,691,286 : 296,123,346,468 = 296,123,346,468 : x
  2. Step 2: Convert to fraction form
    142,177,691,286/296,123,346,468 = 296,123,346,468/x
  3. Step 3: Cross multiply
    142,177,691,286x = 296,123,346,468 × 296,123,346,468
  4. Step 4: Simplify right side
    142,177,691,286x = 87,689,036,323,407,171,420,160
  5. Step 5: Solve for x
    x = 87,689,036,323,407,171,420,160/142,177,691,286
  6. Step 6: Final answer
    x = 616,756,648,179.18

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.