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Finding the Third Proportional to 121,920 and 260,748

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Solution

The third proportional to 121,920 and 260,748 is: 557,656.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,920 : 260,748 = 260,748 : x
  2. Step 2: Convert to fraction form
    121,920/260,748 = 260,748/x
  3. Step 3: Cross multiply
    121,920x = 260,748 × 260,748
  4. Step 4: Simplify right side
    121,920x = 67,989,519,504
  5. Step 5: Solve for x
    x = 67,989,519,504/121,920
  6. Step 6: Final answer
    x = 557,656.82

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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.