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Finding the Third Proportional to 276,812 and 433,670

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Solution

The third proportional to 276,812 and 433,670 is: 679,412.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,812 : 433,670 = 433,670 : x
  2. Step 2: Convert to fraction form
    276,812/433,670 = 433,670/x
  3. Step 3: Cross multiply
    276,812x = 433,670 × 433,670
  4. Step 4: Simplify right side
    276,812x = 188,069,668,900
  5. Step 5: Solve for x
    x = 188,069,668,900/276,812
  6. Step 6: Final answer
    x = 679,412.99

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.