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Finding the Third Proportional to 405.88 and 642.75

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Solution

The third proportional to 405.88 and 642.75 is: 1,017.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.88 : 642.75 = 642.75 : x
  2. Step 2: Convert to fraction form
    405.88/642.75 = 642.75/x
  3. Step 3: Cross multiply
    405.88x = 642.75 × 642.75
  4. Step 4: Simplify right side
    405.88x = 413,127.56
  5. Step 5: Solve for x
    x = 413,127.56/405.88
  6. Step 6: Final answer
    x = 1,017.87

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.