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Finding the Third Proportional to 305,939 and 662,716

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Solution

The third proportional to 305,939 and 662,716 is: 1,435,555.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,939 : 662,716 = 662,716 : x
  2. Step 2: Convert to fraction form
    305,939/662,716 = 662,716/x
  3. Step 3: Cross multiply
    305,939x = 662,716 × 662,716
  4. Step 4: Simplify right side
    305,939x = 439,192,496,656
  5. Step 5: Solve for x
    x = 439,192,496,656/305,939
  6. Step 6: Final answer
    x = 1,435,555.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.