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Finding the Third Proportional to 86,404 and 126,528

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Solution

The third proportional to 86,404 and 126,528 is: 185,284.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,404 : 126,528 = 126,528 : x
  2. Step 2: Convert to fraction form
    86,404/126,528 = 126,528/x
  3. Step 3: Cross multiply
    86,404x = 126,528 × 126,528
  4. Step 4: Simplify right side
    86,404x = 16,009,334,784
  5. Step 5: Solve for x
    x = 16,009,334,784/86,404
  6. Step 6: Final answer
    x = 185,284.65

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.