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Finding the Third Proportional to 121,656 and 260,124

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Solution

The third proportional to 121,656 and 260,124 is: 556,195.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,656 : 260,124 = 260,124 : x
  2. Step 2: Convert to fraction form
    121,656/260,124 = 260,124/x
  3. Step 3: Cross multiply
    121,656x = 260,124 × 260,124
  4. Step 4: Simplify right side
    121,656x = 67,664,495,376
  5. Step 5: Solve for x
    x = 67,664,495,376/121,656
  6. Step 6: Final answer
    x = 556,195.30

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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.