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Finding the Third Proportional to 230,427 and 338,107.50

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Solution

The third proportional to 230,427 and 338,107.50 is: 496,108.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,427 : 338,107.50 = 338,107.50 : x
  2. Step 2: Convert to fraction form
    230,427/338,107.50 = 338,107.50/x
  3. Step 3: Cross multiply
    230,427x = 338,107.50 × 338,107.50
  4. Step 4: Simplify right side
    230,427x = 114,316,681,556.25
  5. Step 5: Solve for x
    x = 114,316,681,556.25/230,427
  6. Step 6: Final answer
    x = 496,108.01

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.