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Finding the Third Proportional to 86,430 and 133,332

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Solution

The third proportional to 86,430 and 133,332 is: 205,685.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,430 : 133,332 = 133,332 : x
  2. Step 2: Convert to fraction form
    86,430/133,332 = 133,332/x
  3. Step 3: Cross multiply
    86,430x = 133,332 × 133,332
  4. Step 4: Simplify right side
    86,430x = 17,777,422,224
  5. Step 5: Solve for x
    x = 17,777,422,224/86,430
  6. Step 6: Final answer
    x = 205,685.78

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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.