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Finding the Third Proportional to 81,756,930 and 178,029,060

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Solution

The third proportional to 81,756,930 and 178,029,060 is: 387,665,561.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,756,930 : 178,029,060 = 178,029,060 : x
  2. Step 2: Convert to fraction form
    81,756,930/178,029,060 = 178,029,060/x
  3. Step 3: Cross multiply
    81,756,930x = 178,029,060 × 178,029,060
  4. Step 4: Simplify right side
    81,756,930x = 31,694,346,204,483,600
  5. Step 5: Solve for x
    x = 31,694,346,204,483,600/81,756,930
  6. Step 6: Final answer
    x = 387,665,561.86

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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.