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Finding the Third Proportional to 172,170 and 252,585

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Solution

The third proportional to 172,170 and 252,585 is: 370,559.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,170 : 252,585 = 252,585 : x
  2. Step 2: Convert to fraction form
    172,170/252,585 = 252,585/x
  3. Step 3: Cross multiply
    172,170x = 252,585 × 252,585
  4. Step 4: Simplify right side
    172,170x = 63,799,182,225
  5. Step 5: Solve for x
    x = 63,799,182,225/172,170
  6. Step 6: Final answer
    x = 370,559.23

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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.