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Finding the Third Proportional to 397,932 and 617,070

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Solution

The third proportional to 397,932 and 617,070 is: 956,885.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,932 : 617,070 = 617,070 : x
  2. Step 2: Convert to fraction form
    397,932/617,070 = 617,070/x
  3. Step 3: Cross multiply
    397,932x = 617,070 × 617,070
  4. Step 4: Simplify right side
    397,932x = 380,775,384,900
  5. Step 5: Solve for x
    x = 380,775,384,900/397,932
  6. Step 6: Final answer
    x = 956,885.56

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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.