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Finding the Third Proportional to 295,840 and 646,976

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Solution

The third proportional to 295,840 and 646,976 is: 1,414,879.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,840 : 646,976 = 646,976 : x
  2. Step 2: Convert to fraction form
    295,840/646,976 = 646,976/x
  3. Step 3: Cross multiply
    295,840x = 646,976 × 646,976
  4. Step 4: Simplify right side
    295,840x = 418,577,944,576
  5. Step 5: Solve for x
    x = 418,577,944,576/295,840
  6. Step 6: Final answer
    x = 1,414,879.48

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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.