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Finding the Third Proportional to 127,782 and 200,463.75

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Solution

The third proportional to 127,782 and 200,463.75 is: 314,486.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,782 : 200,463.75 = 200,463.75 : x
  2. Step 2: Convert to fraction form
    127,782/200,463.75 = 200,463.75/x
  3. Step 3: Cross multiply
    127,782x = 200,463.75 × 200,463.75
  4. Step 4: Simplify right side
    127,782x = 40,185,715,064.06
  5. Step 5: Solve for x
    x = 40,185,715,064.06/127,782
  6. Step 6: Final answer
    x = 314,486.51

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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.