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Finding the Third Proportional to 135,061 and 145,514

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Solution

The third proportional to 135,061 and 145,514 is: 156,776.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,061 : 145,514 = 145,514 : x
  2. Step 2: Convert to fraction form
    135,061/145,514 = 145,514/x
  3. Step 3: Cross multiply
    135,061x = 145,514 × 145,514
  4. Step 4: Simplify right side
    135,061x = 21,174,324,196
  5. Step 5: Solve for x
    x = 21,174,324,196/135,061
  6. Step 6: Final answer
    x = 156,776.01

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.