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Finding the Third Proportional to 121,202 and 260,394

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Solution

The third proportional to 121,202 and 260,394 is: 559,438.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,202 : 260,394 = 260,394 : x
  2. Step 2: Convert to fraction form
    121,202/260,394 = 260,394/x
  3. Step 3: Cross multiply
    121,202x = 260,394 × 260,394
  4. Step 4: Simplify right side
    121,202x = 67,805,035,236
  5. Step 5: Solve for x
    x = 67,805,035,236/121,202
  6. Step 6: Final answer
    x = 559,438.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.