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Finding the Third Proportional to 400.57 and 623.95

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Solution

The third proportional to 400.57 and 623.95 is: 971.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.57 : 623.95 = 623.95 : x
  2. Step 2: Convert to fraction form
    400.57/623.95 = 623.95/x
  3. Step 3: Cross multiply
    400.57x = 623.95 × 623.95
  4. Step 4: Simplify right side
    400.57x = 389,317.50
  5. Step 5: Solve for x
    x = 389,317.50/400.57
  6. Step 6: Final answer
    x = 971.91

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.