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Finding the Third Proportional to 100,404.75 and 161,430

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Solution

The third proportional to 100,404.75 and 161,430 is: 259,545.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,404.75 : 161,430 = 161,430 : x
  2. Step 2: Convert to fraction form
    100,404.75/161,430 = 161,430/x
  3. Step 3: Cross multiply
    100,404.75x = 161,430 × 161,430
  4. Step 4: Simplify right side
    100,404.75x = 26,059,644,900
  5. Step 5: Solve for x
    x = 26,059,644,900/100,404.75
  6. Step 6: Final answer
    x = 259,545.94

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.