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Finding the Third Proportional to 85,363.88 and 128,319.19

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Solution

The third proportional to 85,363.88 and 128,319.19 is: 192,889.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,363.88 : 128,319.19 = 128,319.19 : x
  2. Step 2: Convert to fraction form
    85,363.88/128,319.19 = 128,319.19/x
  3. Step 3: Cross multiply
    85,363.88x = 128,319.19 × 128,319.19
  4. Step 4: Simplify right side
    85,363.88x = 16,465,813,880.66
  5. Step 5: Solve for x
    x = 16,465,813,880.66/85,363.88
  6. Step 6: Final answer
    x = 192,889.72

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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.