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Finding the Third Proportional to 3,970,726.50 and 8,418,231

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Solution

The third proportional to 3,970,726.50 and 8,418,231 is: 17,847,266.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970,726.50 : 8,418,231 = 8,418,231 : x
  2. Step 2: Convert to fraction form
    3,970,726.50/8,418,231 = 8,418,231/x
  3. Step 3: Cross multiply
    3,970,726.50x = 8,418,231 × 8,418,231
  4. Step 4: Simplify right side
    3,970,726.50x = 70,866,613,169,361
  5. Step 5: Solve for x
    x = 70,866,613,169,361/3,970,726.50
  6. Step 6: Final answer
    x = 17,847,266.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.