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Finding the Third Proportional to 356,872 and 512,951

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Solution

The third proportional to 356,872 and 512,951 is: 737,291.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,872 : 512,951 = 512,951 : x
  2. Step 2: Convert to fraction form
    356,872/512,951 = 512,951/x
  3. Step 3: Cross multiply
    356,872x = 512,951 × 512,951
  4. Step 4: Simplify right side
    356,872x = 263,118,728,401
  5. Step 5: Solve for x
    x = 263,118,728,401/356,872
  6. Step 6: Final answer
    x = 737,291.60

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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.