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Finding the Third Proportional to 121,220 and 264,472

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Solution

The third proportional to 121,220 and 264,472 is: 577,012.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,220 : 264,472 = 264,472 : x
  2. Step 2: Convert to fraction form
    121,220/264,472 = 264,472/x
  3. Step 3: Cross multiply
    121,220x = 264,472 × 264,472
  4. Step 4: Simplify right side
    121,220x = 69,945,438,784
  5. Step 5: Solve for x
    x = 69,945,438,784/121,220
  6. Step 6: Final answer
    x = 577,012.36

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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.