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Finding the Third Proportional to 142,177,691,292 and 296,123,346,480

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Solution

The third proportional to 142,177,691,292 and 296,123,346,480 is: 616,756,648,203.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,177,691,292 : 296,123,346,480 = 296,123,346,480 : x
  2. Step 2: Convert to fraction form
    142,177,691,292/296,123,346,480 = 296,123,346,480/x
  3. Step 3: Cross multiply
    142,177,691,292x = 296,123,346,480 × 296,123,346,480
  4. Step 4: Simplify right side
    142,177,691,292x = 87,689,036,330,514,134,335,488
  5. Step 5: Solve for x
    x = 87,689,036,330,514,134,335,488/142,177,691,292
  6. Step 6: Final answer
    x = 616,756,648,203.14

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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.