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Finding the Third Proportional to 86,430 and 133,334

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Solution

The third proportional to 86,430 and 133,334 is: 205,691.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,430 : 133,334 = 133,334 : x
  2. Step 2: Convert to fraction form
    86,430/133,334 = 133,334/x
  3. Step 3: Cross multiply
    86,430x = 133,334 × 133,334
  4. Step 4: Simplify right side
    86,430x = 17,777,955,556
  5. Step 5: Solve for x
    x = 17,777,955,556/86,430
  6. Step 6: Final answer
    x = 205,691.95

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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.