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Finding the Third Proportional to 64,514 and 99,687

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Solution

The third proportional to 64,514 and 99,687 is: 154,036.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,514 : 99,687 = 99,687 : x
  2. Step 2: Convert to fraction form
    64,514/99,687 = 99,687/x
  3. Step 3: Cross multiply
    64,514x = 99,687 × 99,687
  4. Step 4: Simplify right side
    64,514x = 9,937,497,969
  5. Step 5: Solve for x
    x = 9,937,497,969/64,514
  6. Step 6: Final answer
    x = 154,036.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.