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Finding the Third Proportional to 398,024 and 840,973

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Solution

The third proportional to 398,024 and 840,973 is: 1,776,866.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,024 : 840,973 = 840,973 : x
  2. Step 2: Convert to fraction form
    398,024/840,973 = 840,973/x
  3. Step 3: Cross multiply
    398,024x = 840,973 × 840,973
  4. Step 4: Simplify right side
    398,024x = 707,235,586,729
  5. Step 5: Solve for x
    x = 707,235,586,729/398,024
  6. Step 6: Final answer
    x = 1,776,866.69

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.