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Finding the Third Proportional to 311,926 and 656,447

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Solution

The third proportional to 311,926 and 656,447 is: 1,381,490.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,926 : 656,447 = 656,447 : x
  2. Step 2: Convert to fraction form
    311,926/656,447 = 656,447/x
  3. Step 3: Cross multiply
    311,926x = 656,447 × 656,447
  4. Step 4: Simplify right side
    311,926x = 430,922,663,809
  5. Step 5: Solve for x
    x = 430,922,663,809/311,926
  6. Step 6: Final answer
    x = 1,381,490.05

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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.