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Finding the Third Proportional to 171,820 and 252,604

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Solution

The third proportional to 171,820 and 252,604 is: 371,369.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,820 : 252,604 = 252,604 : x
  2. Step 2: Convert to fraction form
    171,820/252,604 = 252,604/x
  3. Step 3: Cross multiply
    171,820x = 252,604 × 252,604
  4. Step 4: Simplify right side
    171,820x = 63,808,780,816
  5. Step 5: Solve for x
    x = 63,808,780,816/171,820
  6. Step 6: Final answer
    x = 371,369.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.