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Finding the Third Proportional to 121,570 and 260,149

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Solution

The third proportional to 121,570 and 260,149 is: 556,695.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,570 : 260,149 = 260,149 : x
  2. Step 2: Convert to fraction form
    121,570/260,149 = 260,149/x
  3. Step 3: Cross multiply
    121,570x = 260,149 × 260,149
  4. Step 4: Simplify right side
    121,570x = 67,677,502,201
  5. Step 5: Solve for x
    x = 67,677,502,201/121,570
  6. Step 6: Final answer
    x = 556,695.75

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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.