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Finding the Third Proportional to 121,014 and 260,538

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Solution

The third proportional to 121,014 and 260,538 is: 560,927.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,014 : 260,538 = 260,538 : x
  2. Step 2: Convert to fraction form
    121,014/260,538 = 260,538/x
  3. Step 3: Cross multiply
    121,014x = 260,538 × 260,538
  4. Step 4: Simplify right side
    121,014x = 67,880,049,444
  5. Step 5: Solve for x
    x = 67,880,049,444/121,014
  6. Step 6: Final answer
    x = 560,927.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.