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Finding the Third Proportional to 98,782 and 213,359

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Solution

The third proportional to 98,782 and 213,359 is: 460,833.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,782 : 213,359 = 213,359 : x
  2. Step 2: Convert to fraction form
    98,782/213,359 = 213,359/x
  3. Step 3: Cross multiply
    98,782x = 213,359 × 213,359
  4. Step 4: Simplify right side
    98,782x = 45,522,062,881
  5. Step 5: Solve for x
    x = 45,522,062,881/98,782
  6. Step 6: Final answer
    x = 460,833.58

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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.