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Finding the Third Proportional to 172,542 and 375,459

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Solution

The third proportional to 172,542 and 375,459 is: 817,015.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,542 : 375,459 = 375,459 : x
  2. Step 2: Convert to fraction form
    172,542/375,459 = 375,459/x
  3. Step 3: Cross multiply
    172,542x = 375,459 × 375,459
  4. Step 4: Simplify right side
    172,542x = 140,969,460,681
  5. Step 5: Solve for x
    x = 140,969,460,681/172,542
  6. Step 6: Final answer
    x = 817,015.34

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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.