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Finding the Third Proportional to 121,189 and 260,370

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Solution

The third proportional to 121,189 and 260,370 is: 559,395.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,189 : 260,370 = 260,370 : x
  2. Step 2: Convert to fraction form
    121,189/260,370 = 260,370/x
  3. Step 3: Cross multiply
    121,189x = 260,370 × 260,370
  4. Step 4: Simplify right side
    121,189x = 67,792,536,900
  5. Step 5: Solve for x
    x = 67,792,536,900/121,189
  6. Step 6: Final answer
    x = 559,395.13

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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.