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Finding the Third Proportional to 360,620 and 771,270

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Solution

The third proportional to 360,620 and 771,270 is: 1,649,540.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,620 : 771,270 = 771,270 : x
  2. Step 2: Convert to fraction form
    360,620/771,270 = 771,270/x
  3. Step 3: Cross multiply
    360,620x = 771,270 × 771,270
  4. Step 4: Simplify right side
    360,620x = 594,857,412,900
  5. Step 5: Solve for x
    x = 594,857,412,900/360,620
  6. Step 6: Final answer
    x = 1,649,540.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.