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Finding the Third Proportional to 78,960 and 172,681

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Solution

The third proportional to 78,960 and 172,681 is: 377,643.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,960 : 172,681 = 172,681 : x
  2. Step 2: Convert to fraction form
    78,960/172,681 = 172,681/x
  3. Step 3: Cross multiply
    78,960x = 172,681 × 172,681
  4. Step 4: Simplify right side
    78,960x = 29,818,727,761
  5. Step 5: Solve for x
    x = 29,818,727,761/78,960
  6. Step 6: Final answer
    x = 377,643.46

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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.