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Finding the Third Proportional to 270,069 and 581,686

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Solution

The third proportional to 270,069 and 581,686 is: 1,252,859.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,069 : 581,686 = 581,686 : x
  2. Step 2: Convert to fraction form
    270,069/581,686 = 581,686/x
  3. Step 3: Cross multiply
    270,069x = 581,686 × 581,686
  4. Step 4: Simplify right side
    270,069x = 338,358,602,596
  5. Step 5: Solve for x
    x = 338,358,602,596/270,069
  6. Step 6: Final answer
    x = 1,252,859.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.