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Finding the Third Proportional to 288,744 and 434,376

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Solution

The third proportional to 288,744 and 434,376 is: 653,459.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,744 : 434,376 = 434,376 : x
  2. Step 2: Convert to fraction form
    288,744/434,376 = 434,376/x
  3. Step 3: Cross multiply
    288,744x = 434,376 × 434,376
  4. Step 4: Simplify right side
    288,744x = 188,682,509,376
  5. Step 5: Solve for x
    x = 188,682,509,376/288,744
  6. Step 6: Final answer
    x = 653,459.50

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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.