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Finding the Third Proportional to 345,876 and 745,116

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Solution

The third proportional to 345,876 and 745,116 is: 1,605,193.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,876 : 745,116 = 745,116 : x
  2. Step 2: Convert to fraction form
    345,876/745,116 = 745,116/x
  3. Step 3: Cross multiply
    345,876x = 745,116 × 745,116
  4. Step 4: Simplify right side
    345,876x = 555,197,853,456
  5. Step 5: Solve for x
    x = 555,197,853,456/345,876
  6. Step 6: Final answer
    x = 1,605,193.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.