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Finding the Third Proportional to 191,655 and 403,170

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Solution

The third proportional to 191,655 and 403,170 is: 848,117.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,655 : 403,170 = 403,170 : x
  2. Step 2: Convert to fraction form
    191,655/403,170 = 403,170/x
  3. Step 3: Cross multiply
    191,655x = 403,170 × 403,170
  4. Step 4: Simplify right side
    191,655x = 162,546,048,900
  5. Step 5: Solve for x
    x = 162,546,048,900/191,655
  6. Step 6: Final answer
    x = 848,117.97

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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.