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Finding the Third Proportional to 71,478 and 156,780

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Solution

The third proportional to 71,478 and 156,780 is: 343,881.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,478 : 156,780 = 156,780 : x
  2. Step 2: Convert to fraction form
    71,478/156,780 = 156,780/x
  3. Step 3: Cross multiply
    71,478x = 156,780 × 156,780
  4. Step 4: Simplify right side
    71,478x = 24,579,968,400
  5. Step 5: Solve for x
    x = 24,579,968,400/71,478
  6. Step 6: Final answer
    x = 343,881.59

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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.