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Finding the Third Proportional to 289,932.75 and 442,395

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Solution

The third proportional to 289,932.75 and 442,395 is: 675,030.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,932.75 : 442,395 = 442,395 : x
  2. Step 2: Convert to fraction form
    289,932.75/442,395 = 442,395/x
  3. Step 3: Cross multiply
    289,932.75x = 442,395 × 442,395
  4. Step 4: Simplify right side
    289,932.75x = 195,713,336,025
  5. Step 5: Solve for x
    x = 195,713,336,025/289,932.75
  6. Step 6: Final answer
    x = 675,030.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.