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Finding the Third Proportional to 71,632.79 and 155,704.15

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Solution

The third proportional to 71,632.79 and 155,704.15 is: 338,445.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,632.79 : 155,704.15 = 155,704.15 : x
  2. Step 2: Convert to fraction form
    71,632.79/155,704.15 = 155,704.15/x
  3. Step 3: Cross multiply
    71,632.79x = 155,704.15 × 155,704.15
  4. Step 4: Simplify right side
    71,632.79x = 24,243,781,840.65
  5. Step 5: Solve for x
    x = 24,243,781,840.65/71,632.79
  6. Step 6: Final answer
    x = 338,445.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.