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Finding the Third Proportional to 82,430 and 179,624

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Solution

The third proportional to 82,430 and 179,624 is: 391,420.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,430 : 179,624 = 179,624 : x
  2. Step 2: Convert to fraction form
    82,430/179,624 = 179,624/x
  3. Step 3: Cross multiply
    82,430x = 179,624 × 179,624
  4. Step 4: Simplify right side
    82,430x = 32,264,781,376
  5. Step 5: Solve for x
    x = 32,264,781,376/82,430
  6. Step 6: Final answer
    x = 391,420.37

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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.