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Finding the Third Proportional to 285,120 and 441,432

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Solution

The third proportional to 285,120 and 441,432 is: 683,439.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,120 : 441,432 = 441,432 : x
  2. Step 2: Convert to fraction form
    285,120/441,432 = 441,432/x
  3. Step 3: Cross multiply
    285,120x = 441,432 × 441,432
  4. Step 4: Simplify right side
    285,120x = 194,862,210,624
  5. Step 5: Solve for x
    x = 194,862,210,624/285,120
  6. Step 6: Final answer
    x = 683,439.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.