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Finding the Third Proportional to 85,518 and 187,128

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Solution

The third proportional to 85,518 and 187,128 is: 409,468.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,518 : 187,128 = 187,128 : x
  2. Step 2: Convert to fraction form
    85,518/187,128 = 187,128/x
  3. Step 3: Cross multiply
    85,518x = 187,128 × 187,128
  4. Step 4: Simplify right side
    85,518x = 35,016,888,384
  5. Step 5: Solve for x
    x = 35,016,888,384/85,518
  6. Step 6: Final answer
    x = 409,468.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.