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Finding the Third Proportional to 257,163 and 399,759

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Solution

The third proportional to 257,163 and 399,759 is: 621,423.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,163 : 399,759 = 399,759 : x
  2. Step 2: Convert to fraction form
    257,163/399,759 = 399,759/x
  3. Step 3: Cross multiply
    257,163x = 399,759 × 399,759
  4. Step 4: Simplify right side
    257,163x = 159,807,258,081
  5. Step 5: Solve for x
    x = 159,807,258,081/257,163
  6. Step 6: Final answer
    x = 621,423.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.