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Finding the Third Proportional to 98,338 and 215,629

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Solution

The third proportional to 98,338 and 215,629 is: 472,816.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,338 : 215,629 = 215,629 : x
  2. Step 2: Convert to fraction form
    98,338/215,629 = 215,629/x
  3. Step 3: Cross multiply
    98,338x = 215,629 × 215,629
  4. Step 4: Simplify right side
    98,338x = 46,495,865,641
  5. Step 5: Solve for x
    x = 46,495,865,641/98,338
  6. Step 6: Final answer
    x = 472,816.87

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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.