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Finding the Third Proportional to 361,074 and 782,412

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Solution

The third proportional to 361,074 and 782,412 is: 1,695,410.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,074 : 782,412 = 782,412 : x
  2. Step 2: Convert to fraction form
    361,074/782,412 = 782,412/x
  3. Step 3: Cross multiply
    361,074x = 782,412 × 782,412
  4. Step 4: Simplify right side
    361,074x = 612,168,537,744
  5. Step 5: Solve for x
    x = 612,168,537,744/361,074
  6. Step 6: Final answer
    x = 1,695,410.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.