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Finding the Third Proportional to 295,874 and 646,990

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Solution

The third proportional to 295,874 and 646,990 is: 1,414,778.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,874 : 646,990 = 646,990 : x
  2. Step 2: Convert to fraction form
    295,874/646,990 = 646,990/x
  3. Step 3: Cross multiply
    295,874x = 646,990 × 646,990
  4. Step 4: Simplify right side
    295,874x = 418,596,060,100
  5. Step 5: Solve for x
    x = 418,596,060,100/295,874
  6. Step 6: Final answer
    x = 1,414,778.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.