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Finding the Third Proportional to 142,662 and 220,787

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Solution

The third proportional to 142,662 and 220,787 is: 341,695.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,662 : 220,787 = 220,787 : x
  2. Step 2: Convert to fraction form
    142,662/220,787 = 220,787/x
  3. Step 3: Cross multiply
    142,662x = 220,787 × 220,787
  4. Step 4: Simplify right side
    142,662x = 48,746,899,369
  5. Step 5: Solve for x
    x = 48,746,899,369/142,662
  6. Step 6: Final answer
    x = 341,695.05

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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.