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Finding the Third Proportional to 392,288 and 838,522

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Solution

The third proportional to 392,288 and 838,522 is: 1,792,354.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,288 : 838,522 = 838,522 : x
  2. Step 2: Convert to fraction form
    392,288/838,522 = 838,522/x
  3. Step 3: Cross multiply
    392,288x = 838,522 × 838,522
  4. Step 4: Simplify right side
    392,288x = 703,119,144,484
  5. Step 5: Solve for x
    x = 703,119,144,484/392,288
  6. Step 6: Final answer
    x = 1,792,354.46

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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.