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Finding the Third Proportional to 390,398 and 852,188

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Solution

The third proportional to 390,398 and 852,188 is: 1,860,215.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,398 : 852,188 = 852,188 : x
  2. Step 2: Convert to fraction form
    390,398/852,188 = 852,188/x
  3. Step 3: Cross multiply
    390,398x = 852,188 × 852,188
  4. Step 4: Simplify right side
    390,398x = 726,224,387,344
  5. Step 5: Solve for x
    x = 726,224,387,344/390,398
  6. Step 6: Final answer
    x = 1,860,215.44

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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.