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Finding the Third Proportional to 260,689 and 571,207

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Solution

The third proportional to 260,689 and 571,207 is: 1,251,596.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,689 : 571,207 = 571,207 : x
  2. Step 2: Convert to fraction form
    260,689/571,207 = 571,207/x
  3. Step 3: Cross multiply
    260,689x = 571,207 × 571,207
  4. Step 4: Simplify right side
    260,689x = 326,277,436,849
  5. Step 5: Solve for x
    x = 326,277,436,849/260,689
  6. Step 6: Final answer
    x = 1,251,596.49

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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.