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Finding the Third Proportional to 313,470 and 739,860

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Solution

The third proportional to 313,470 and 739,860 is: 1,746,236.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,470 : 739,860 = 739,860 : x
  2. Step 2: Convert to fraction form
    313,470/739,860 = 739,860/x
  3. Step 3: Cross multiply
    313,470x = 739,860 × 739,860
  4. Step 4: Simplify right side
    313,470x = 547,392,819,600
  5. Step 5: Solve for x
    x = 547,392,819,600/313,470
  6. Step 6: Final answer
    x = 1,746,236.70

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.