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Finding the Third Proportional to 374,420 and 807,890

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Solution

The third proportional to 374,420 and 807,890 is: 1,743,192.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,420 : 807,890 = 807,890 : x
  2. Step 2: Convert to fraction form
    374,420/807,890 = 807,890/x
  3. Step 3: Cross multiply
    374,420x = 807,890 × 807,890
  4. Step 4: Simplify right side
    374,420x = 652,686,252,100
  5. Step 5: Solve for x
    x = 652,686,252,100/374,420
  6. Step 6: Final answer
    x = 1,743,192.81

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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.