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Finding the Third Proportional to 343,970 and 495,446

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Solution

The third proportional to 343,970 and 495,446 is: 713,628.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,970 : 495,446 = 495,446 : x
  2. Step 2: Convert to fraction form
    343,970/495,446 = 495,446/x
  3. Step 3: Cross multiply
    343,970x = 495,446 × 495,446
  4. Step 4: Simplify right side
    343,970x = 245,466,738,916
  5. Step 5: Solve for x
    x = 245,466,738,916/343,970
  6. Step 6: Final answer
    x = 713,628.34

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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.