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Finding the Third Proportional to 260,662 and 571,220

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Solution

The third proportional to 260,662 and 571,220 is: 1,251,783.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,662 : 571,220 = 571,220 : x
  2. Step 2: Convert to fraction form
    260,662/571,220 = 571,220/x
  3. Step 3: Cross multiply
    260,662x = 571,220 × 571,220
  4. Step 4: Simplify right side
    260,662x = 326,292,288,400
  5. Step 5: Solve for x
    x = 326,292,288,400/260,662
  6. Step 6: Final answer
    x = 1,251,783.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.