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Finding the Third Proportional to 310,443 and 474,687

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Solution

The third proportional to 310,443 and 474,687 is: 725,826.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,443 : 474,687 = 474,687 : x
  2. Step 2: Convert to fraction form
    310,443/474,687 = 474,687/x
  3. Step 3: Cross multiply
    310,443x = 474,687 × 474,687
  4. Step 4: Simplify right side
    310,443x = 225,327,747,969
  5. Step 5: Solve for x
    x = 225,327,747,969/310,443
  6. Step 6: Final answer
    x = 725,826.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.