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Finding the Third Proportional to 85,280 and 119,287

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Solution

The third proportional to 85,280 and 119,287 is: 166,854.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,280 : 119,287 = 119,287 : x
  2. Step 2: Convert to fraction form
    85,280/119,287 = 119,287/x
  3. Step 3: Cross multiply
    85,280x = 119,287 × 119,287
  4. Step 4: Simplify right side
    85,280x = 14,229,388,369
  5. Step 5: Solve for x
    x = 14,229,388,369/85,280
  6. Step 6: Final answer
    x = 166,854.93

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.