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Finding the Third Proportional to 392,425 and 847,574

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Solution

The third proportional to 392,425 and 847,574 is: 1,830,621.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,425 : 847,574 = 847,574 : x
  2. Step 2: Convert to fraction form
    392,425/847,574 = 847,574/x
  3. Step 3: Cross multiply
    392,425x = 847,574 × 847,574
  4. Step 4: Simplify right side
    392,425x = 718,381,685,476
  5. Step 5: Solve for x
    x = 718,381,685,476/392,425
  6. Step 6: Final answer
    x = 1,830,621.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.