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Finding the Third Proportional to 343,586 and 513,792

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Solution

The third proportional to 343,586 and 513,792 is: 768,314.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,586 : 513,792 = 513,792 : x
  2. Step 2: Convert to fraction form
    343,586/513,792 = 513,792/x
  3. Step 3: Cross multiply
    343,586x = 513,792 × 513,792
  4. Step 4: Simplify right side
    343,586x = 263,982,219,264
  5. Step 5: Solve for x
    x = 263,982,219,264/343,586
  6. Step 6: Final answer
    x = 768,314.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.