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Finding the Third Proportional to 74,112,384 and 160,982,908

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Solution

The third proportional to 74,112,384 and 160,982,908 is: 349,678,356.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,112,384 : 160,982,908 = 160,982,908 : x
  2. Step 2: Convert to fraction form
    74,112,384/160,982,908 = 160,982,908/x
  3. Step 3: Cross multiply
    74,112,384x = 160,982,908 × 160,982,908
  4. Step 4: Simplify right side
    74,112,384x = 25,915,496,668,136,464
  5. Step 5: Solve for x
    x = 25,915,496,668,136,464/74,112,384
  6. Step 6: Final answer
    x = 349,678,356.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.