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Finding the Third Proportional to 261,920 and 571,818

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Solution

The third proportional to 261,920 and 571,818 is: 1,248,380.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,920 : 571,818 = 571,818 : x
  2. Step 2: Convert to fraction form
    261,920/571,818 = 571,818/x
  3. Step 3: Cross multiply
    261,920x = 571,818 × 571,818
  4. Step 4: Simplify right side
    261,920x = 326,975,825,124
  5. Step 5: Solve for x
    x = 326,975,825,124/261,920
  6. Step 6: Final answer
    x = 1,248,380.52

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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.