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Finding the Third Proportional to 311,924 and 656,443

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Solution

The third proportional to 311,924 and 656,443 is: 1,381,482.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,924 : 656,443 = 656,443 : x
  2. Step 2: Convert to fraction form
    311,924/656,443 = 656,443/x
  3. Step 3: Cross multiply
    311,924x = 656,443 × 656,443
  4. Step 4: Simplify right side
    311,924x = 430,917,412,249
  5. Step 5: Solve for x
    x = 430,917,412,249/311,924
  6. Step 6: Final answer
    x = 1,381,482.07

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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.