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Finding the Third Proportional to 38,403 and 79,541

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Solution

The third proportional to 38,403 and 79,541 is: 164,746.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,403 : 79,541 = 79,541 : x
  2. Step 2: Convert to fraction form
    38,403/79,541 = 79,541/x
  3. Step 3: Cross multiply
    38,403x = 79,541 × 79,541
  4. Step 4: Simplify right side
    38,403x = 6,326,770,681
  5. Step 5: Solve for x
    x = 6,326,770,681/38,403
  6. Step 6: Final answer
    x = 164,746.78

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.