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Finding the Third Proportional to 39,110 and 85,280

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Solution

The third proportional to 39,110 and 85,280 is: 185,954.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,110 : 85,280 = 85,280 : x
  2. Step 2: Convert to fraction form
    39,110/85,280 = 85,280/x
  3. Step 3: Cross multiply
    39,110x = 85,280 × 85,280
  4. Step 4: Simplify right side
    39,110x = 7,272,678,400
  5. Step 5: Solve for x
    x = 7,272,678,400/39,110
  6. Step 6: Final answer
    x = 185,954.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.