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Finding the Third Proportional to 342,710 and 512,049

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Solution

The third proportional to 342,710 and 512,049 is: 765,061.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,710 : 512,049 = 512,049 : x
  2. Step 2: Convert to fraction form
    342,710/512,049 = 512,049/x
  3. Step 3: Cross multiply
    342,710x = 512,049 × 512,049
  4. Step 4: Simplify right side
    342,710x = 262,194,178,401
  5. Step 5: Solve for x
    x = 262,194,178,401/342,710
  6. Step 6: Final answer
    x = 765,061.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.