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Finding the Third Proportional to 100,598 and 209,464

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Solution

The third proportional to 100,598 and 209,464 is: 436,143.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,598 : 209,464 = 209,464 : x
  2. Step 2: Convert to fraction form
    100,598/209,464 = 209,464/x
  3. Step 3: Cross multiply
    100,598x = 209,464 × 209,464
  4. Step 4: Simplify right side
    100,598x = 43,875,167,296
  5. Step 5: Solve for x
    x = 43,875,167,296/100,598
  6. Step 6: Final answer
    x = 436,143.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.