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Finding the Third Proportional to 286,932.38 and 421,648.03

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Solution

The third proportional to 286,932.38 and 421,648.03 is: 619,613.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,932.38 : 421,648.03 = 421,648.03 : x
  2. Step 2: Convert to fraction form
    286,932.38/421,648.03 = 421,648.03/x
  3. Step 3: Cross multiply
    286,932.38x = 421,648.03 × 421,648.03
  4. Step 4: Simplify right side
    286,932.38x = 177,787,062,257.00
  5. Step 5: Solve for x
    x = 177,787,062,257.00/286,932.38
  6. Step 6: Final answer
    x = 619,613.11

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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.