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Finding the Third Proportional to 128,932.88 and 193,642.88

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Solution

The third proportional to 128,932.88 and 193,642.88 is: 290,830.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,932.88 : 193,642.88 = 193,642.88 : x
  2. Step 2: Convert to fraction form
    128,932.88/193,642.88 = 193,642.88/x
  3. Step 3: Cross multiply
    128,932.88x = 193,642.88 × 193,642.88
  4. Step 4: Simplify right side
    128,932.88x = 37,497,563,038.27
  5. Step 5: Solve for x
    x = 37,497,563,038.27/128,932.88
  6. Step 6: Final answer
    x = 290,830.12

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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.