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Finding the Third Proportional to 86,416 and 133,309

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Solution

The third proportional to 86,416 and 133,309 is: 205,648.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,416 : 133,309 = 133,309 : x
  2. Step 2: Convert to fraction form
    86,416/133,309 = 133,309/x
  3. Step 3: Cross multiply
    86,416x = 133,309 × 133,309
  4. Step 4: Simplify right side
    86,416x = 17,771,289,481
  5. Step 5: Solve for x
    x = 17,771,289,481/86,416
  6. Step 6: Final answer
    x = 205,648.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.