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Finding the Third Proportional to 357,147 and 743,880

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Solution

The third proportional to 357,147 and 743,880 is: 1,549,382.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,147 : 743,880 = 743,880 : x
  2. Step 2: Convert to fraction form
    357,147/743,880 = 743,880/x
  3. Step 3: Cross multiply
    357,147x = 743,880 × 743,880
  4. Step 4: Simplify right side
    357,147x = 553,357,454,400
  5. Step 5: Solve for x
    x = 553,357,454,400/357,147
  6. Step 6: Final answer
    x = 1,549,382.90

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.