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Finding the Third Proportional to 78,559 and 170,780

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Solution

The third proportional to 78,559 and 170,780 is: 371,259.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,559 : 170,780 = 170,780 : x
  2. Step 2: Convert to fraction form
    78,559/170,780 = 170,780/x
  3. Step 3: Cross multiply
    78,559x = 170,780 × 170,780
  4. Step 4: Simplify right side
    78,559x = 29,165,808,400
  5. Step 5: Solve for x
    x = 29,165,808,400/78,559
  6. Step 6: Final answer
    x = 371,259.92

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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.