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Finding the Third Proportional to 38,620 and 58,340

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Solution

The third proportional to 38,620 and 58,340 is: 88,129.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,620 : 58,340 = 58,340 : x
  2. Step 2: Convert to fraction form
    38,620/58,340 = 58,340/x
  3. Step 3: Cross multiply
    38,620x = 58,340 × 58,340
  4. Step 4: Simplify right side
    38,620x = 3,403,555,600
  5. Step 5: Solve for x
    x = 3,403,555,600/38,620
  6. Step 6: Final answer
    x = 88,129.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.