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Finding the Third Proportional to 86,438 and 133,346

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Solution

The third proportional to 86,438 and 133,346 is: 205,709.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,438 : 133,346 = 133,346 : x
  2. Step 2: Convert to fraction form
    86,438/133,346 = 133,346/x
  3. Step 3: Cross multiply
    86,438x = 133,346 × 133,346
  4. Step 4: Simplify right side
    86,438x = 17,781,155,716
  5. Step 5: Solve for x
    x = 17,781,155,716/86,438
  6. Step 6: Final answer
    x = 205,709.94

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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.