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Finding the Third Proportional to 62,643.38 and 128,344.50

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Solution

The third proportional to 62,643.38 and 128,344.50 is: 262,953.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,643.38 : 128,344.50 = 128,344.50 : x
  2. Step 2: Convert to fraction form
    62,643.38/128,344.50 = 128,344.50/x
  3. Step 3: Cross multiply
    62,643.38x = 128,344.50 × 128,344.50
  4. Step 4: Simplify right side
    62,643.38x = 16,472,310,680.25
  5. Step 5: Solve for x
    x = 16,472,310,680.25/62,643.38
  6. Step 6: Final answer
    x = 262,953.75

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.