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Finding the Third Proportional to 207,930.75 and 423,398.25

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Solution

The third proportional to 207,930.75 and 423,398.25 is: 862,143.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,930.75 : 423,398.25 = 423,398.25 : x
  2. Step 2: Convert to fraction form
    207,930.75/423,398.25 = 423,398.25/x
  3. Step 3: Cross multiply
    207,930.75x = 423,398.25 × 423,398.25
  4. Step 4: Simplify right side
    207,930.75x = 179,266,078,103.06
  5. Step 5: Solve for x
    x = 179,266,078,103.06/207,930.75
  6. Step 6: Final answer
    x = 862,143.18

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.