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Finding the Third Proportional to 121,571 and 264,421

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Solution

The third proportional to 121,571 and 264,421 is: 575,124.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,571 : 264,421 = 264,421 : x
  2. Step 2: Convert to fraction form
    121,571/264,421 = 264,421/x
  3. Step 3: Cross multiply
    121,571x = 264,421 × 264,421
  4. Step 4: Simplify right side
    121,571x = 69,918,465,241
  5. Step 5: Solve for x
    x = 69,918,465,241/121,571
  6. Step 6: Final answer
    x = 575,124.54

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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.