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Finding the Third Proportional to 79,770 and 172,748

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Solution

The third proportional to 79,770 and 172,748 is: 374,098.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,770 : 172,748 = 172,748 : x
  2. Step 2: Convert to fraction form
    79,770/172,748 = 172,748/x
  3. Step 3: Cross multiply
    79,770x = 172,748 × 172,748
  4. Step 4: Simplify right side
    79,770x = 29,841,871,504
  5. Step 5: Solve for x
    x = 29,841,871,504/79,770
  6. Step 6: Final answer
    x = 374,098.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.