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Finding the Third Proportional to 343,137 and 495,021

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Solution

The third proportional to 343,137 and 495,021 is: 714,133.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,137 : 495,021 = 495,021 : x
  2. Step 2: Convert to fraction form
    343,137/495,021 = 495,021/x
  3. Step 3: Cross multiply
    343,137x = 495,021 × 495,021
  4. Step 4: Simplify right side
    343,137x = 245,045,790,441
  5. Step 5: Solve for x
    x = 245,045,790,441/343,137
  6. Step 6: Final answer
    x = 714,133.98

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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.