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Finding the Third Proportional to 310,756 and 475,398

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Solution

The third proportional to 310,756 and 475,398 is: 727,269.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,756 : 475,398 = 475,398 : x
  2. Step 2: Convert to fraction form
    310,756/475,398 = 475,398/x
  3. Step 3: Cross multiply
    310,756x = 475,398 × 475,398
  4. Step 4: Simplify right side
    310,756x = 226,003,258,404
  5. Step 5: Solve for x
    x = 226,003,258,404/310,756
  6. Step 6: Final answer
    x = 727,269.17

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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.