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Finding the Third Proportional to 311,983 and 493,581

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Solution

The third proportional to 311,983 and 493,581 is: 780,882.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,983 : 493,581 = 493,581 : x
  2. Step 2: Convert to fraction form
    311,983/493,581 = 493,581/x
  3. Step 3: Cross multiply
    311,983x = 493,581 × 493,581
  4. Step 4: Simplify right side
    311,983x = 243,622,203,561
  5. Step 5: Solve for x
    x = 243,622,203,561/311,983
  6. Step 6: Final answer
    x = 780,882.94

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.