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Finding the Third Proportional to 98,620 and 215,670

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Solution

The third proportional to 98,620 and 215,670 is: 471,644.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,620 : 215,670 = 215,670 : x
  2. Step 2: Convert to fraction form
    98,620/215,670 = 215,670/x
  3. Step 3: Cross multiply
    98,620x = 215,670 × 215,670
  4. Step 4: Simplify right side
    98,620x = 46,513,548,900
  5. Step 5: Solve for x
    x = 46,513,548,900/98,620
  6. Step 6: Final answer
    x = 471,644.18

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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.