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Finding the Third Proportional to 128,531.25 and 278,932.50

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Solution

The third proportional to 128,531.25 and 278,932.50 is: 605,326.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,531.25 : 278,932.50 = 278,932.50 : x
  2. Step 2: Convert to fraction form
    128,531.25/278,932.50 = 278,932.50/x
  3. Step 3: Cross multiply
    128,531.25x = 278,932.50 × 278,932.50
  4. Step 4: Simplify right side
    128,531.25x = 77,803,339,556.25
  5. Step 5: Solve for x
    x = 77,803,339,556.25/128,531.25
  6. Step 6: Final answer
    x = 605,326.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.