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Finding the Third Proportional to 574,395 and 804,920

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Solution

The third proportional to 574,395 and 804,920 is: 1,127,962.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,395 : 804,920 = 804,920 : x
  2. Step 2: Convert to fraction form
    574,395/804,920 = 804,920/x
  3. Step 3: Cross multiply
    574,395x = 804,920 × 804,920
  4. Step 4: Simplify right side
    574,395x = 647,896,206,400
  5. Step 5: Solve for x
    x = 647,896,206,400/574,395
  6. Step 6: Final answer
    x = 1,127,962.82

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.