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Finding the Third Proportional to 38,464 and 85,280

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Solution

The third proportional to 38,464 and 85,280 is: 189,077.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,464 : 85,280 = 85,280 : x
  2. Step 2: Convert to fraction form
    38,464/85,280 = 85,280/x
  3. Step 3: Cross multiply
    38,464x = 85,280 × 85,280
  4. Step 4: Simplify right side
    38,464x = 7,272,678,400
  5. Step 5: Solve for x
    x = 7,272,678,400/38,464
  6. Step 6: Final answer
    x = 189,077.54

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.