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Finding the Third Proportional to 121,116 and 260,742

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Solution

The third proportional to 121,116 and 260,742 is: 561,332.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,116 : 260,742 = 260,742 : x
  2. Step 2: Convert to fraction form
    121,116/260,742 = 260,742/x
  3. Step 3: Cross multiply
    121,116x = 260,742 × 260,742
  4. Step 4: Simplify right side
    121,116x = 67,986,390,564
  5. Step 5: Solve for x
    x = 67,986,390,564/121,116
  6. Step 6: Final answer
    x = 561,332.86

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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.