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Finding the Third Proportional to 121,420 and 260,384

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Solution

The third proportional to 121,420 and 260,384 is: 558,390.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,420 : 260,384 = 260,384 : x
  2. Step 2: Convert to fraction form
    121,420/260,384 = 260,384/x
  3. Step 3: Cross multiply
    121,420x = 260,384 × 260,384
  4. Step 4: Simplify right side
    121,420x = 67,799,827,456
  5. Step 5: Solve for x
    x = 67,799,827,456/121,420
  6. Step 6: Final answer
    x = 558,390.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.