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Finding the Third Proportional to 65,921 and 136,514

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Solution

The third proportional to 65,921 and 136,514 is: 282,703.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,921 : 136,514 = 136,514 : x
  2. Step 2: Convert to fraction form
    65,921/136,514 = 136,514/x
  3. Step 3: Cross multiply
    65,921x = 136,514 × 136,514
  4. Step 4: Simplify right side
    65,921x = 18,636,072,196
  5. Step 5: Solve for x
    x = 18,636,072,196/65,921
  6. Step 6: Final answer
    x = 282,703.12

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.