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Finding the Third Proportional to 311,926 and 446,070

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Solution

The third proportional to 311,926 and 446,070 is: 637,902.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,926 : 446,070 = 446,070 : x
  2. Step 2: Convert to fraction form
    311,926/446,070 = 446,070/x
  3. Step 3: Cross multiply
    311,926x = 446,070 × 446,070
  4. Step 4: Simplify right side
    311,926x = 198,978,444,900
  5. Step 5: Solve for x
    x = 198,978,444,900/311,926
  6. Step 6: Final answer
    x = 637,902.72

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.