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Finding the Third Proportional to 405.88 and 623.94

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Solution

The third proportional to 405.88 and 623.94 is: 959.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.88 : 623.94 = 623.94 : x
  2. Step 2: Convert to fraction form
    405.88/623.94 = 623.94/x
  3. Step 3: Cross multiply
    405.88x = 623.94 × 623.94
  4. Step 4: Simplify right side
    405.88x = 389,298.00
  5. Step 5: Solve for x
    x = 389,298.00/405.88
  6. Step 6: Final answer
    x = 959.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.