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Finding the Third Proportional to 121,659 and 260,130

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Solution

The third proportional to 121,659 and 260,130 is: 556,207.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,659 : 260,130 = 260,130 : x
  2. Step 2: Convert to fraction form
    121,659/260,130 = 260,130/x
  3. Step 3: Cross multiply
    121,659x = 260,130 × 260,130
  4. Step 4: Simplify right side
    121,659x = 67,667,616,900
  5. Step 5: Solve for x
    x = 67,667,616,900/121,659
  6. Step 6: Final answer
    x = 556,207.24

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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.