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Finding the Third Proportional to 361,100 and 782,464

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Solution

The third proportional to 361,100 and 782,464 is: 1,695,513.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,100 : 782,464 = 782,464 : x
  2. Step 2: Convert to fraction form
    361,100/782,464 = 782,464/x
  3. Step 3: Cross multiply
    361,100x = 782,464 × 782,464
  4. Step 4: Simplify right side
    361,100x = 612,249,911,296
  5. Step 5: Solve for x
    x = 612,249,911,296/361,100
  6. Step 6: Final answer
    x = 1,695,513.46

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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.