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Finding the Third Proportional to 311,938 and 656,470

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Solution

The third proportional to 311,938 and 656,470 is: 1,381,533.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,938 : 656,470 = 656,470 : x
  2. Step 2: Convert to fraction form
    311,938/656,470 = 656,470/x
  3. Step 3: Cross multiply
    311,938x = 656,470 × 656,470
  4. Step 4: Simplify right side
    311,938x = 430,952,860,900
  5. Step 5: Solve for x
    x = 430,952,860,900/311,938
  6. Step 6: Final answer
    x = 1,381,533.71

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.