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Finding the Third Proportional to 154,473 and 338,472

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Solution

The third proportional to 154,473 and 338,472 is: 741,639.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,473 : 338,472 = 338,472 : x
  2. Step 2: Convert to fraction form
    154,473/338,472 = 338,472/x
  3. Step 3: Cross multiply
    154,473x = 338,472 × 338,472
  4. Step 4: Simplify right side
    154,473x = 114,563,294,784
  5. Step 5: Solve for x
    x = 114,563,294,784/154,473
  6. Step 6: Final answer
    x = 741,639.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.