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Finding the Third Proportional to 86,232 and 128,814

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Solution

The third proportional to 86,232 and 128,814 is: 192,423.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,232 : 128,814 = 128,814 : x
  2. Step 2: Convert to fraction form
    86,232/128,814 = 128,814/x
  3. Step 3: Cross multiply
    86,232x = 128,814 × 128,814
  4. Step 4: Simplify right side
    86,232x = 16,593,046,596
  5. Step 5: Solve for x
    x = 16,593,046,596/86,232
  6. Step 6: Final answer
    x = 192,423.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.