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Finding the Third Proportional to 100,217.25 and 215,986.50

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Solution

The third proportional to 100,217.25 and 215,986.50 is: 465,490.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,217.25 : 215,986.50 = 215,986.50 : x
  2. Step 2: Convert to fraction form
    100,217.25/215,986.50 = 215,986.50/x
  3. Step 3: Cross multiply
    100,217.25x = 215,986.50 × 215,986.50
  4. Step 4: Simplify right side
    100,217.25x = 46,650,168,182.25
  5. Step 5: Solve for x
    x = 46,650,168,182.25/100,217.25
  6. Step 6: Final answer
    x = 465,490.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.