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Finding the Third Proportional to 191,862 and 407,103

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Solution

The third proportional to 191,862 and 407,103 is: 863,812.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,862 : 407,103 = 407,103 : x
  2. Step 2: Convert to fraction form
    191,862/407,103 = 407,103/x
  3. Step 3: Cross multiply
    191,862x = 407,103 × 407,103
  4. Step 4: Simplify right side
    191,862x = 165,732,852,609
  5. Step 5: Solve for x
    x = 165,732,852,609/191,862
  6. Step 6: Final answer
    x = 863,812.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.