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Finding the Third Proportional to 400.63 and 609.13

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Solution

The third proportional to 400.63 and 609.13 is: 926.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.63 : 609.13 = 609.13 : x
  2. Step 2: Convert to fraction form
    400.63/609.13 = 609.13/x
  3. Step 3: Cross multiply
    400.63x = 609.13 × 609.13
  4. Step 4: Simplify right side
    400.63x = 371,033.27
  5. Step 5: Solve for x
    x = 371,033.27/400.63
  6. Step 6: Final answer
    x = 926.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.