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Finding the Third Proportional to 343,959 and 495,426

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Solution

The third proportional to 343,959 and 495,426 is: 713,593.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,959 : 495,426 = 495,426 : x
  2. Step 2: Convert to fraction form
    343,959/495,426 = 495,426/x
  3. Step 3: Cross multiply
    343,959x = 495,426 × 495,426
  4. Step 4: Simplify right side
    343,959x = 245,446,921,476
  5. Step 5: Solve for x
    x = 245,446,921,476/343,959
  6. Step 6: Final answer
    x = 713,593.54

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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.