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Finding the Third Proportional to 121,112 and 260,735

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Solution

The third proportional to 121,112 and 260,735 is: 561,321.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,112 : 260,735 = 260,735 : x
  2. Step 2: Convert to fraction form
    121,112/260,735 = 260,735/x
  3. Step 3: Cross multiply
    121,112x = 260,735 × 260,735
  4. Step 4: Simplify right side
    121,112x = 67,982,740,225
  5. Step 5: Solve for x
    x = 67,982,740,225/121,112
  6. Step 6: Final answer
    x = 561,321.26

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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.