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Finding the Third Proportional to 397,037 and 865,462

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Solution

The third proportional to 397,037 and 865,462 is: 1,886,535.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,037 : 865,462 = 865,462 : x
  2. Step 2: Convert to fraction form
    397,037/865,462 = 865,462/x
  3. Step 3: Cross multiply
    397,037x = 865,462 × 865,462
  4. Step 4: Simplify right side
    397,037x = 749,024,473,444
  5. Step 5: Solve for x
    x = 749,024,473,444/397,037
  6. Step 6: Final answer
    x = 1,886,535.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.