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Finding the Third Proportional to 397,012 and 865,408

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Solution

The third proportional to 397,012 and 865,408 is: 1,886,419.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,012 : 865,408 = 865,408 : x
  2. Step 2: Convert to fraction form
    397,012/865,408 = 865,408/x
  3. Step 3: Cross multiply
    397,012x = 865,408 × 865,408
  4. Step 4: Simplify right side
    397,012x = 748,931,006,464
  5. Step 5: Solve for x
    x = 748,931,006,464/397,012
  6. Step 6: Final answer
    x = 1,886,419.07

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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.