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Finding the Third Proportional to 400,127.34 and 600,206.20

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Solution

The third proportional to 400,127.34 and 600,206.20 is: 900,332.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,127.34 : 600,206.20 = 600,206.20 : x
  2. Step 2: Convert to fraction form
    400,127.34/600,206.20 = 600,206.20/x
  3. Step 3: Cross multiply
    400,127.34x = 600,206.20 × 600,206.20
  4. Step 4: Simplify right side
    400,127.34x = 360,247,486,269.73
  5. Step 5: Solve for x
    x = 360,247,486,269.73/400,127.34
  6. Step 6: Final answer
    x = 900,332.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.