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Finding the Third Proportional to 129,865 and 207,464.50

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Solution

The third proportional to 129,865 and 207,464.50 is: 331,432.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,865 : 207,464.50 = 207,464.50 : x
  2. Step 2: Convert to fraction form
    129,865/207,464.50 = 207,464.50/x
  3. Step 3: Cross multiply
    129,865x = 207,464.50 × 207,464.50
  4. Step 4: Simplify right side
    129,865x = 43,041,518,760.25
  5. Step 5: Solve for x
    x = 43,041,518,760.25/129,865
  6. Step 6: Final answer
    x = 331,432.79

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.