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Finding the Third Proportional to 78,971 and 172,703

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Solution

The third proportional to 78,971 and 172,703 is: 377,687.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,971 : 172,703 = 172,703 : x
  2. Step 2: Convert to fraction form
    78,971/172,703 = 172,703/x
  3. Step 3: Cross multiply
    78,971x = 172,703 × 172,703
  4. Step 4: Simplify right side
    78,971x = 29,826,326,209
  5. Step 5: Solve for x
    x = 29,826,326,209/78,971
  6. Step 6: Final answer
    x = 377,687.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.