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Finding the Third Proportional to 281,612.75 and 435,787.50

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Solution

The third proportional to 281,612.75 and 435,787.50 is: 674,368.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,612.75 : 435,787.50 = 435,787.50 : x
  2. Step 2: Convert to fraction form
    281,612.75/435,787.50 = 435,787.50/x
  3. Step 3: Cross multiply
    281,612.75x = 435,787.50 × 435,787.50
  4. Step 4: Simplify right side
    281,612.75x = 189,910,745,156.25
  5. Step 5: Solve for x
    x = 189,910,745,156.25/281,612.75
  6. Step 6: Final answer
    x = 674,368.42

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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.