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Finding the Third Proportional to 121,342 and 260,248

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Solution

The third proportional to 121,342 and 260,248 is: 558,166.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,342 : 260,248 = 260,248 : x
  2. Step 2: Convert to fraction form
    121,342/260,248 = 260,248/x
  3. Step 3: Cross multiply
    121,342x = 260,248 × 260,248
  4. Step 4: Simplify right side
    121,342x = 67,729,021,504
  5. Step 5: Solve for x
    x = 67,729,021,504/121,342
  6. Step 6: Final answer
    x = 558,166.35

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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.