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Finding the Third Proportional to 90,578.25 and 213,126.75

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Solution

The third proportional to 90,578.25 and 213,126.75 is: 501,478.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,578.25 : 213,126.75 = 213,126.75 : x
  2. Step 2: Convert to fraction form
    90,578.25/213,126.75 = 213,126.75/x
  3. Step 3: Cross multiply
    90,578.25x = 213,126.75 × 213,126.75
  4. Step 4: Simplify right side
    90,578.25x = 45,423,011,565.56
  5. Step 5: Solve for x
    x = 45,423,011,565.56/90,578.25
  6. Step 6: Final answer
    x = 501,478.13

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.