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Finding the Third Proportional to 343,986 and 495,471

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Solution

The third proportional to 343,986 and 495,471 is: 713,667.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,986 : 495,471 = 495,471 : x
  2. Step 2: Convert to fraction form
    343,986/495,471 = 495,471/x
  3. Step 3: Cross multiply
    343,986x = 495,471 × 495,471
  4. Step 4: Simplify right side
    343,986x = 245,491,511,841
  5. Step 5: Solve for x
    x = 245,491,511,841/343,986
  6. Step 6: Final answer
    x = 713,667.16

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.