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Finding the Third Proportional to 343,988 and 495,474

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Solution

The third proportional to 343,988 and 495,474 is: 713,671.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,988 : 495,474 = 495,474 : x
  2. Step 2: Convert to fraction form
    343,988/495,474 = 495,474/x
  3. Step 3: Cross multiply
    343,988x = 495,474 × 495,474
  4. Step 4: Simplify right side
    343,988x = 245,494,484,676
  5. Step 5: Solve for x
    x = 245,494,484,676/343,988
  6. Step 6: Final answer
    x = 713,671.65

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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.