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Finding the Third Proportional to 153,909 and 230,868

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Solution

The third proportional to 153,909 and 230,868 is: 346,308.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,909 : 230,868 = 230,868 : x
  2. Step 2: Convert to fraction form
    153,909/230,868 = 230,868/x
  3. Step 3: Cross multiply
    153,909x = 230,868 × 230,868
  4. Step 4: Simplify right side
    153,909x = 53,300,033,424
  5. Step 5: Solve for x
    x = 53,300,033,424/153,909
  6. Step 6: Final answer
    x = 346,308.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.