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Finding the Third Proportional to 78,508 and 121,290

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Solution

The third proportional to 78,508 and 121,290 is: 187,385.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,508 : 121,290 = 121,290 : x
  2. Step 2: Convert to fraction form
    78,508/121,290 = 121,290/x
  3. Step 3: Cross multiply
    78,508x = 121,290 × 121,290
  4. Step 4: Simplify right side
    78,508x = 14,711,264,100
  5. Step 5: Solve for x
    x = 14,711,264,100/78,508
  6. Step 6: Final answer
    x = 187,385.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.