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Finding the Third Proportional to 191,090 and 397,865

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Solution

The third proportional to 191,090 and 397,865 is: 828,387.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,090 : 397,865 = 397,865 : x
  2. Step 2: Convert to fraction form
    191,090/397,865 = 397,865/x
  3. Step 3: Cross multiply
    191,090x = 397,865 × 397,865
  4. Step 4: Simplify right side
    191,090x = 158,296,558,225
  5. Step 5: Solve for x
    x = 158,296,558,225/191,090
  6. Step 6: Final answer
    x = 828,387.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.