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Finding the Third Proportional to 147,382 and 315,794

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Solution

The third proportional to 147,382 and 315,794 is: 676,648.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,382 : 315,794 = 315,794 : x
  2. Step 2: Convert to fraction form
    147,382/315,794 = 315,794/x
  3. Step 3: Cross multiply
    147,382x = 315,794 × 315,794
  4. Step 4: Simplify right side
    147,382x = 99,725,850,436
  5. Step 5: Solve for x
    x = 99,725,850,436/147,382
  6. Step 6: Final answer
    x = 676,648.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.