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Finding the Third Proportional to 98,469 and 215,811

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Solution

The third proportional to 98,469 and 215,811 is: 472,985.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,469 : 215,811 = 215,811 : x
  2. Step 2: Convert to fraction form
    98,469/215,811 = 215,811/x
  3. Step 3: Cross multiply
    98,469x = 215,811 × 215,811
  4. Step 4: Simplify right side
    98,469x = 46,574,387,721
  5. Step 5: Solve for x
    x = 46,574,387,721/98,469
  6. Step 6: Final answer
    x = 472,985.28

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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.