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Finding the Third Proportional to 191,769 and 363,855

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Solution

The third proportional to 191,769 and 363,855 is: 690,364.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,769 : 363,855 = 363,855 : x
  2. Step 2: Convert to fraction form
    191,769/363,855 = 363,855/x
  3. Step 3: Cross multiply
    191,769x = 363,855 × 363,855
  4. Step 4: Simplify right side
    191,769x = 132,390,461,025
  5. Step 5: Solve for x
    x = 132,390,461,025/191,769
  6. Step 6: Final answer
    x = 690,364.25

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.