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Finding the Third Proportional to 121,220 and 259,288

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Solution

The third proportional to 121,220 and 259,288 is: 554,613.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,220 : 259,288 = 259,288 : x
  2. Step 2: Convert to fraction form
    121,220/259,288 = 259,288/x
  3. Step 3: Cross multiply
    121,220x = 259,288 × 259,288
  4. Step 4: Simplify right side
    121,220x = 67,230,266,944
  5. Step 5: Solve for x
    x = 67,230,266,944/121,220
  6. Step 6: Final answer
    x = 554,613.65

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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.