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Finding the Third Proportional to 38,698 and 78,460

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Solution

The third proportional to 38,698 and 78,460 is: 159,077.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,698 : 78,460 = 78,460 : x
  2. Step 2: Convert to fraction form
    38,698/78,460 = 78,460/x
  3. Step 3: Cross multiply
    38,698x = 78,460 × 78,460
  4. Step 4: Simplify right side
    38,698x = 6,155,971,600
  5. Step 5: Solve for x
    x = 6,155,971,600/38,698
  6. Step 6: Final answer
    x = 159,077.25

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.