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Finding the Third Proportional to 121,220 and 264,470

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Solution

The third proportional to 121,220 and 264,470 is: 577,003.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,220 : 264,470 = 264,470 : x
  2. Step 2: Convert to fraction form
    121,220/264,470 = 264,470/x
  3. Step 3: Cross multiply
    121,220x = 264,470 × 264,470
  4. Step 4: Simplify right side
    121,220x = 69,944,380,900
  5. Step 5: Solve for x
    x = 69,944,380,900/121,220
  6. Step 6: Final answer
    x = 577,003.64

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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.