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Finding the Third Proportional to 388,432 and 847,474

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Solution

The third proportional to 388,432 and 847,474 is: 1,849,003.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,432 : 847,474 = 847,474 : x
  2. Step 2: Convert to fraction form
    388,432/847,474 = 847,474/x
  3. Step 3: Cross multiply
    388,432x = 847,474 × 847,474
  4. Step 4: Simplify right side
    388,432x = 718,212,180,676
  5. Step 5: Solve for x
    x = 718,212,180,676/388,432
  6. Step 6: Final answer
    x = 1,849,003.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.