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Finding the Third Proportional to 311,859 and 656,319

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Solution

The third proportional to 311,859 and 656,319 is: 1,381,248.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,859 : 656,319 = 656,319 : x
  2. Step 2: Convert to fraction form
    311,859/656,319 = 656,319/x
  3. Step 3: Cross multiply
    311,859x = 656,319 × 656,319
  4. Step 4: Simplify right side
    311,859x = 430,754,629,761
  5. Step 5: Solve for x
    x = 430,754,629,761/311,859
  6. Step 6: Final answer
    x = 1,381,248.03

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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.