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Finding the Third Proportional to 81,658.50 and 128,320.88

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Solution

The third proportional to 81,658.50 and 128,320.88 is: 201,647.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,658.50 : 128,320.88 = 128,320.88 : x
  2. Step 2: Convert to fraction form
    81,658.50/128,320.88 = 128,320.88/x
  3. Step 3: Cross multiply
    81,658.50x = 128,320.88 × 128,320.88
  4. Step 4: Simplify right side
    81,658.50x = 16,466,246,960.77
  5. Step 5: Solve for x
    x = 16,466,246,960.77/81,658.50
  6. Step 6: Final answer
    x = 201,647.68

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.