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Finding the Third Proportional to 191,930 and 300,411

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Solution

The third proportional to 191,930 and 300,411 is: 470,206.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,930 : 300,411 = 300,411 : x
  2. Step 2: Convert to fraction form
    191,930/300,411 = 300,411/x
  3. Step 3: Cross multiply
    191,930x = 300,411 × 300,411
  4. Step 4: Simplify right side
    191,930x = 90,246,768,921
  5. Step 5: Solve for x
    x = 90,246,768,921/191,930
  6. Step 6: Final answer
    x = 470,206.68

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.