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Finding the Third Proportional to 85,587 and 128,396

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Solution

The third proportional to 85,587 and 128,396 is: 192,617.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,587 : 128,396 = 128,396 : x
  2. Step 2: Convert to fraction form
    85,587/128,396 = 128,396/x
  3. Step 3: Cross multiply
    85,587x = 128,396 × 128,396
  4. Step 4: Simplify right side
    85,587x = 16,485,532,816
  5. Step 5: Solve for x
    x = 16,485,532,816/85,587
  6. Step 6: Final answer
    x = 192,617.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.