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Finding the Third Proportional to 121,660 and 260,132

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Solution

The third proportional to 121,660 and 260,132 is: 556,211.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,660 : 260,132 = 260,132 : x
  2. Step 2: Convert to fraction form
    121,660/260,132 = 260,132/x
  3. Step 3: Cross multiply
    121,660x = 260,132 × 260,132
  4. Step 4: Simplify right side
    121,660x = 67,668,657,424
  5. Step 5: Solve for x
    x = 67,668,657,424/121,660
  6. Step 6: Final answer
    x = 556,211.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.