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Finding the Third Proportional to 343,947 and 495,408

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Solution

The third proportional to 343,947 and 495,408 is: 713,566.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,947 : 495,408 = 495,408 : x
  2. Step 2: Convert to fraction form
    343,947/495,408 = 495,408/x
  3. Step 3: Cross multiply
    343,947x = 495,408 × 495,408
  4. Step 4: Simplify right side
    343,947x = 245,429,086,464
  5. Step 5: Solve for x
    x = 245,429,086,464/343,947
  6. Step 6: Final answer
    x = 713,566.59

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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.