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Finding the Third Proportional to 78,431 and 170,551

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Solution

The third proportional to 78,431 and 170,551 is: 370,869.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,431 : 170,551 = 170,551 : x
  2. Step 2: Convert to fraction form
    78,431/170,551 = 170,551/x
  3. Step 3: Cross multiply
    78,431x = 170,551 × 170,551
  4. Step 4: Simplify right side
    78,431x = 29,087,643,601
  5. Step 5: Solve for x
    x = 29,087,643,601/78,431
  6. Step 6: Final answer
    x = 370,869.22

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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.