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Finding the Third Proportional to 360,678 and 771,387

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Solution

The third proportional to 360,678 and 771,387 is: 1,649,775.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,678 : 771,387 = 771,387 : x
  2. Step 2: Convert to fraction form
    360,678/771,387 = 771,387/x
  3. Step 3: Cross multiply
    360,678x = 771,387 × 771,387
  4. Step 4: Simplify right side
    360,678x = 595,037,903,769
  5. Step 5: Solve for x
    x = 595,037,903,769/360,678
  6. Step 6: Final answer
    x = 1,649,775.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.