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Finding the Third Proportional to 393,617 and 862,888

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Solution

The third proportional to 393,617 and 862,888 is: 1,891,624.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,617 : 862,888 = 862,888 : x
  2. Step 2: Convert to fraction form
    393,617/862,888 = 862,888/x
  3. Step 3: Cross multiply
    393,617x = 862,888 × 862,888
  4. Step 4: Simplify right side
    393,617x = 744,575,700,544
  5. Step 5: Solve for x
    x = 744,575,700,544/393,617
  6. Step 6: Final answer
    x = 1,891,624.85

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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.