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Finding the Third Proportional to 95,666 and 133,746

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Solution

The third proportional to 95,666 and 133,746 is: 186,983.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,666 : 133,746 = 133,746 : x
  2. Step 2: Convert to fraction form
    95,666/133,746 = 133,746/x
  3. Step 3: Cross multiply
    95,666x = 133,746 × 133,746
  4. Step 4: Simplify right side
    95,666x = 17,887,992,516
  5. Step 5: Solve for x
    x = 17,887,992,516/95,666
  6. Step 6: Final answer
    x = 186,983.80

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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.