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Finding the Third Proportional to 121,569 and 265,269

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Solution

The third proportional to 121,569 and 265,269 is: 578,828.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,569 : 265,269 = 265,269 : x
  2. Step 2: Convert to fraction form
    121,569/265,269 = 265,269/x
  3. Step 3: Cross multiply
    121,569x = 265,269 × 265,269
  4. Step 4: Simplify right side
    121,569x = 70,367,642,361
  5. Step 5: Solve for x
    x = 70,367,642,361/121,569
  6. Step 6: Final answer
    x = 578,828.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.