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Finding the Third Proportional to 79,915 and 172,283

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Solution

The third proportional to 79,915 and 172,283 is: 371,412.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,915 : 172,283 = 172,283 : x
  2. Step 2: Convert to fraction form
    79,915/172,283 = 172,283/x
  3. Step 3: Cross multiply
    79,915x = 172,283 × 172,283
  4. Step 4: Simplify right side
    79,915x = 29,681,432,089
  5. Step 5: Solve for x
    x = 29,681,432,089/79,915
  6. Step 6: Final answer
    x = 371,412.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.