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Finding the Third Proportional to 343,954 and 495,421

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Solution

The third proportional to 343,954 and 495,421 is: 713,589.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,954 : 495,421 = 495,421 : x
  2. Step 2: Convert to fraction form
    343,954/495,421 = 495,421/x
  3. Step 3: Cross multiply
    343,954x = 495,421 × 495,421
  4. Step 4: Simplify right side
    343,954x = 245,441,967,241
  5. Step 5: Solve for x
    x = 245,441,967,241/343,954
  6. Step 6: Final answer
    x = 713,589.51

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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.