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Finding the Third Proportional to 77,498 and 172,532

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Solution

The third proportional to 77,498 and 172,532 is: 384,103.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,498 : 172,532 = 172,532 : x
  2. Step 2: Convert to fraction form
    77,498/172,532 = 172,532/x
  3. Step 3: Cross multiply
    77,498x = 172,532 × 172,532
  4. Step 4: Simplify right side
    77,498x = 29,767,291,024
  5. Step 5: Solve for x
    x = 29,767,291,024/77,498
  6. Step 6: Final answer
    x = 384,103.99

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.