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Finding the Third Proportional to 265,974 and 399,237

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Solution

The third proportional to 265,974 and 399,237 is: 599,269.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,974 : 399,237 = 399,237 : x
  2. Step 2: Convert to fraction form
    265,974/399,237 = 399,237/x
  3. Step 3: Cross multiply
    265,974x = 399,237 × 399,237
  4. Step 4: Simplify right side
    265,974x = 159,390,182,169
  5. Step 5: Solve for x
    x = 159,390,182,169/265,974
  6. Step 6: Final answer
    x = 599,269.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.