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Finding the Third Proportional to 191,655 and 407,895

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Solution

The third proportional to 191,655 and 407,895 is: 868,113.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,655 : 407,895 = 407,895 : x
  2. Step 2: Convert to fraction form
    191,655/407,895 = 407,895/x
  3. Step 3: Cross multiply
    191,655x = 407,895 × 407,895
  4. Step 4: Simplify right side
    191,655x = 166,378,331,025
  5. Step 5: Solve for x
    x = 166,378,331,025/191,655
  6. Step 6: Final answer
    x = 868,113.70

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.