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Finding the Third Proportional to 390,540 and 852,360

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Solution

The third proportional to 390,540 and 852,360 is: 1,860,289.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,540 : 852,360 = 852,360 : x
  2. Step 2: Convert to fraction form
    390,540/852,360 = 852,360/x
  3. Step 3: Cross multiply
    390,540x = 852,360 × 852,360
  4. Step 4: Simplify right side
    390,540x = 726,517,569,600
  5. Step 5: Solve for x
    x = 726,517,569,600/390,540
  6. Step 6: Final answer
    x = 1,860,289.78

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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.