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Finding the Third Proportional to 98,629.50 and 215,711

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Solution

The third proportional to 98,629.50 and 215,711 is: 471,778.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,629.50 : 215,711 = 215,711 : x
  2. Step 2: Convert to fraction form
    98,629.50/215,711 = 215,711/x
  3. Step 3: Cross multiply
    98,629.50x = 215,711 × 215,711
  4. Step 4: Simplify right side
    98,629.50x = 46,531,235,521
  5. Step 5: Solve for x
    x = 46,531,235,521/98,629.50
  6. Step 6: Final answer
    x = 471,778.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.