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Finding the Third Proportional to 121,663 and 260,140

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Solution

The third proportional to 121,663 and 260,140 is: 556,231.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,663 : 260,140 = 260,140 : x
  2. Step 2: Convert to fraction form
    121,663/260,140 = 260,140/x
  3. Step 3: Cross multiply
    121,663x = 260,140 × 260,140
  4. Step 4: Simplify right side
    121,663x = 67,672,819,600
  5. Step 5: Solve for x
    x = 67,672,819,600/121,663
  6. Step 6: Final answer
    x = 556,231.72

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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.