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Finding the Third Proportional to 98,620.50 and 215,655

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Solution

The third proportional to 98,620.50 and 215,655 is: 471,576.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,620.50 : 215,655 = 215,655 : x
  2. Step 2: Convert to fraction form
    98,620.50/215,655 = 215,655/x
  3. Step 3: Cross multiply
    98,620.50x = 215,655 × 215,655
  4. Step 4: Simplify right side
    98,620.50x = 46,507,079,025
  5. Step 5: Solve for x
    x = 46,507,079,025/98,620.50
  6. Step 6: Final answer
    x = 471,576.18

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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.