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Finding the Third Proportional to 121,567.50 and 261,117

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Solution

The third proportional to 121,567.50 and 261,117 is: 560,857.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,567.50 : 261,117 = 261,117 : x
  2. Step 2: Convert to fraction form
    121,567.50/261,117 = 261,117/x
  3. Step 3: Cross multiply
    121,567.50x = 261,117 × 261,117
  4. Step 4: Simplify right side
    121,567.50x = 68,182,087,689
  5. Step 5: Solve for x
    x = 68,182,087,689/121,567.50
  6. Step 6: Final answer
    x = 560,857.86

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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.