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Finding the Third Proportional to 40,456,470 and 87,386,727

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Solution

The third proportional to 40,456,470 and 87,386,727 is: 188,756,954.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,456,470 : 87,386,727 = 87,386,727 : x
  2. Step 2: Convert to fraction form
    40,456,470/87,386,727 = 87,386,727/x
  3. Step 3: Cross multiply
    40,456,470x = 87,386,727 × 87,386,727
  4. Step 4: Simplify right side
    40,456,470x = 7,636,440,055,772,529
  5. Step 5: Solve for x
    x = 7,636,440,055,772,529/40,456,470
  6. Step 6: Final answer
    x = 188,756,954.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.