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Finding the Third Proportional to 311,854 and 474,341

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Solution

The third proportional to 311,854 and 474,341 is: 721,489.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,854 : 474,341 = 474,341 : x
  2. Step 2: Convert to fraction form
    311,854/474,341 = 474,341/x
  3. Step 3: Cross multiply
    311,854x = 474,341 × 474,341
  4. Step 4: Simplify right side
    311,854x = 224,999,384,281
  5. Step 5: Solve for x
    x = 224,999,384,281/311,854
  6. Step 6: Final answer
    x = 721,489.49

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.