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Finding the Third Proportional to 121,280 and 260,800.50

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Solution

The third proportional to 121,280 and 260,800.50 is: 560,825.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,280 : 260,800.50 = 260,800.50 : x
  2. Step 2: Convert to fraction form
    121,280/260,800.50 = 260,800.50/x
  3. Step 3: Cross multiply
    121,280x = 260,800.50 × 260,800.50
  4. Step 4: Simplify right side
    121,280x = 68,016,900,800.25
  5. Step 5: Solve for x
    x = 68,016,900,800.25/121,280
  6. Step 6: Final answer
    x = 560,825.37

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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.