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Finding the Third Proportional to 361,770 and 771,574

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Solution

The third proportional to 361,770 and 771,574 is: 1,645,593.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,770 : 771,574 = 771,574 : x
  2. Step 2: Convert to fraction form
    361,770/771,574 = 771,574/x
  3. Step 3: Cross multiply
    361,770x = 771,574 × 771,574
  4. Step 4: Simplify right side
    361,770x = 595,326,437,476
  5. Step 5: Solve for x
    x = 595,326,437,476/361,770
  6. Step 6: Final answer
    x = 1,645,593.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.