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Finding the Third Proportional to 98,827 and 209,409

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Solution

The third proportional to 98,827 and 209,409 is: 443,726.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,827 : 209,409 = 209,409 : x
  2. Step 2: Convert to fraction form
    98,827/209,409 = 209,409/x
  3. Step 3: Cross multiply
    98,827x = 209,409 × 209,409
  4. Step 4: Simplify right side
    98,827x = 43,852,129,281
  5. Step 5: Solve for x
    x = 43,852,129,281/98,827
  6. Step 6: Final answer
    x = 443,726.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.