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Finding the Third Proportional to 390,664 and 829,288

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Solution

The third proportional to 390,664 and 829,288 is: 1,760,383.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,664 : 829,288 = 829,288 : x
  2. Step 2: Convert to fraction form
    390,664/829,288 = 829,288/x
  3. Step 3: Cross multiply
    390,664x = 829,288 × 829,288
  4. Step 4: Simplify right side
    390,664x = 687,718,586,944
  5. Step 5: Solve for x
    x = 687,718,586,944/390,664
  6. Step 6: Final answer
    x = 1,760,383.83

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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.