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Finding the Third Proportional to 172,539 and 375,453

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Solution

The third proportional to 172,539 and 375,453 is: 817,003.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,539 : 375,453 = 375,453 : x
  2. Step 2: Convert to fraction form
    172,539/375,453 = 375,453/x
  3. Step 3: Cross multiply
    172,539x = 375,453 × 375,453
  4. Step 4: Simplify right side
    172,539x = 140,964,955,209
  5. Step 5: Solve for x
    x = 140,964,955,209/172,539
  6. Step 6: Final answer
    x = 817,003.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.