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Finding the Third Proportional to 121,480 and 260,860

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Solution

The third proportional to 121,480 and 260,860 is: 560,157.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,480 : 260,860 = 260,860 : x
  2. Step 2: Convert to fraction form
    121,480/260,860 = 260,860/x
  3. Step 3: Cross multiply
    121,480x = 260,860 × 260,860
  4. Step 4: Simplify right side
    121,480x = 68,047,939,600
  5. Step 5: Solve for x
    x = 68,047,939,600/121,480
  6. Step 6: Final answer
    x = 560,157.55

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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.