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Finding the Third Proportional to 311,427 and 487,892

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Solution

The third proportional to 311,427 and 487,892 is: 764,348.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,427 : 487,892 = 487,892 : x
  2. Step 2: Convert to fraction form
    311,427/487,892 = 487,892/x
  3. Step 3: Cross multiply
    311,427x = 487,892 × 487,892
  4. Step 4: Simplify right side
    311,427x = 238,038,603,664
  5. Step 5: Solve for x
    x = 238,038,603,664/311,427
  6. Step 6: Final answer
    x = 764,348.00

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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.