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Finding the Third Proportional to 374,920 and 809,725

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Solution

The third proportional to 374,920 and 809,725 is: 1,748,785.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,920 : 809,725 = 809,725 : x
  2. Step 2: Convert to fraction form
    374,920/809,725 = 809,725/x
  3. Step 3: Cross multiply
    374,920x = 809,725 × 809,725
  4. Step 4: Simplify right side
    374,920x = 655,654,575,625
  5. Step 5: Solve for x
    x = 655,654,575,625/374,920
  6. Step 6: Final answer
    x = 1,748,785.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.