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Finding the Third Proportional to 409,660 and 596,478

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Solution

The third proportional to 409,660 and 596,478 is: 868,490.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,660 : 596,478 = 596,478 : x
  2. Step 2: Convert to fraction form
    409,660/596,478 = 596,478/x
  3. Step 3: Cross multiply
    409,660x = 596,478 × 596,478
  4. Step 4: Simplify right side
    409,660x = 355,786,004,484
  5. Step 5: Solve for x
    x = 355,786,004,484/409,660
  6. Step 6: Final answer
    x = 868,490.95

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.