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Finding the Third Proportional to 191,622 and 403,089

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Solution

The third proportional to 191,622 and 403,089 is: 847,923.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,622 : 403,089 = 403,089 : x
  2. Step 2: Convert to fraction form
    191,622/403,089 = 403,089/x
  3. Step 3: Cross multiply
    191,622x = 403,089 × 403,089
  4. Step 4: Simplify right side
    191,622x = 162,480,741,921
  5. Step 5: Solve for x
    x = 162,480,741,921/191,622
  6. Step 6: Final answer
    x = 847,923.21

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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.