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Finding the Third Proportional to 13,531,727 and 20,984,957

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Solution

The third proportional to 13,531,727 and 20,984,957 is: 32,543,401.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,531,727 : 20,984,957 = 20,984,957 : x
  2. Step 2: Convert to fraction form
    13,531,727/20,984,957 = 20,984,957/x
  3. Step 3: Cross multiply
    13,531,727x = 20,984,957 × 20,984,957
  4. Step 4: Simplify right side
    13,531,727x = 440,368,420,291,849
  5. Step 5: Solve for x
    x = 440,368,420,291,849/13,531,727
  6. Step 6: Final answer
    x = 32,543,401.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.