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Finding the Third Proportional to 121,205 and 264,442

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Solution

The third proportional to 121,205 and 264,442 is: 576,952.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,205 : 264,442 = 264,442 : x
  2. Step 2: Convert to fraction form
    121,205/264,442 = 264,442/x
  3. Step 3: Cross multiply
    121,205x = 264,442 × 264,442
  4. Step 4: Simplify right side
    121,205x = 69,929,571,364
  5. Step 5: Solve for x
    x = 69,929,571,364/121,205
  6. Step 6: Final answer
    x = 576,952.86

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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.