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Finding the Third Proportional to 390,662 and 829,286

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Solution

The third proportional to 390,662 and 829,286 is: 1,760,384.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,662 : 829,286 = 829,286 : x
  2. Step 2: Convert to fraction form
    390,662/829,286 = 829,286/x
  3. Step 3: Cross multiply
    390,662x = 829,286 × 829,286
  4. Step 4: Simplify right side
    390,662x = 687,715,269,796
  5. Step 5: Solve for x
    x = 687,715,269,796/390,662
  6. Step 6: Final answer
    x = 1,760,384.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.