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Finding the Third Proportional to 151,569 and 318,366

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Solution

The third proportional to 151,569 and 318,366 is: 668,717.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,569 : 318,366 = 318,366 : x
  2. Step 2: Convert to fraction form
    151,569/318,366 = 318,366/x
  3. Step 3: Cross multiply
    151,569x = 318,366 × 318,366
  4. Step 4: Simplify right side
    151,569x = 101,356,909,956
  5. Step 5: Solve for x
    x = 101,356,909,956/151,569
  6. Step 6: Final answer
    x = 668,717.94

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.