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Finding the Third Proportional to 153,034.50 and 232,936.50

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Solution

The third proportional to 153,034.50 and 232,936.50 is: 354,556.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,034.50 : 232,936.50 = 232,936.50 : x
  2. Step 2: Convert to fraction form
    153,034.50/232,936.50 = 232,936.50/x
  3. Step 3: Cross multiply
    153,034.50x = 232,936.50 × 232,936.50
  4. Step 4: Simplify right side
    153,034.50x = 54,259,413,032.25
  5. Step 5: Solve for x
    x = 54,259,413,032.25/153,034.50
  6. Step 6: Final answer
    x = 354,556.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.