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Finding the Third Proportional to 398,488 and 859,948

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Solution

The third proportional to 398,488 and 859,948 is: 1,855,791.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,488 : 859,948 = 859,948 : x
  2. Step 2: Convert to fraction form
    398,488/859,948 = 859,948/x
  3. Step 3: Cross multiply
    398,488x = 859,948 × 859,948
  4. Step 4: Simplify right side
    398,488x = 739,510,562,704
  5. Step 5: Solve for x
    x = 739,510,562,704/398,488
  6. Step 6: Final answer
    x = 1,855,791.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.