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Finding the Third Proportional to 88,143.50 and 128,523

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Solution

The third proportional to 88,143.50 and 128,523 is: 187,400.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,143.50 : 128,523 = 128,523 : x
  2. Step 2: Convert to fraction form
    88,143.50/128,523 = 128,523/x
  3. Step 3: Cross multiply
    88,143.50x = 128,523 × 128,523
  4. Step 4: Simplify right side
    88,143.50x = 16,518,161,529
  5. Step 5: Solve for x
    x = 16,518,161,529/88,143.50
  6. Step 6: Final answer
    x = 187,400.79

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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.