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Finding the Third Proportional to 79,712 and 172,538

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Solution

The third proportional to 79,712 and 172,538 is: 373,461.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,712 : 172,538 = 172,538 : x
  2. Step 2: Convert to fraction form
    79,712/172,538 = 172,538/x
  3. Step 3: Cross multiply
    79,712x = 172,538 × 172,538
  4. Step 4: Simplify right side
    79,712x = 29,769,361,444
  5. Step 5: Solve for x
    x = 29,769,361,444/79,712
  6. Step 6: Final answer
    x = 373,461.48

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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.