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Finding the Third Proportional to 121,144 and 260,804

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Solution

The third proportional to 121,144 and 260,804 is: 561,470.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,144 : 260,804 = 260,804 : x
  2. Step 2: Convert to fraction form
    121,144/260,804 = 260,804/x
  3. Step 3: Cross multiply
    121,144x = 260,804 × 260,804
  4. Step 4: Simplify right side
    121,144x = 68,018,726,416
  5. Step 5: Solve for x
    x = 68,018,726,416/121,144
  6. Step 6: Final answer
    x = 561,470.04

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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.