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Finding the Third Proportional to 393,298.50 and 862,413

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Solution

The third proportional to 393,298.50 and 862,413 is: 1,891,073.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,298.50 : 862,413 = 862,413 : x
  2. Step 2: Convert to fraction form
    393,298.50/862,413 = 862,413/x
  3. Step 3: Cross multiply
    393,298.50x = 862,413 × 862,413
  4. Step 4: Simplify right side
    393,298.50x = 743,756,182,569
  5. Step 5: Solve for x
    x = 743,756,182,569/393,298.50
  6. Step 6: Final answer
    x = 1,891,073.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.