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Finding the Third Proportional to 142,066 and 220,569

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Solution

The third proportional to 142,066 and 220,569 is: 342,451.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,066 : 220,569 = 220,569 : x
  2. Step 2: Convert to fraction form
    142,066/220,569 = 220,569/x
  3. Step 3: Cross multiply
    142,066x = 220,569 × 220,569
  4. Step 4: Simplify right side
    142,066x = 48,650,683,761
  5. Step 5: Solve for x
    x = 48,650,683,761/142,066
  6. Step 6: Final answer
    x = 342,451.28

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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.