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Finding the Third Proportional to 445.08 and 643.15

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Solution

The third proportional to 445.08 and 643.15 is: 929.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.08 : 643.15 = 643.15 : x
  2. Step 2: Convert to fraction form
    445.08/643.15 = 643.15/x
  3. Step 3: Cross multiply
    445.08x = 643.15 × 643.15
  4. Step 4: Simplify right side
    445.08x = 413,639.91
  5. Step 5: Solve for x
    x = 413,639.91/445.08
  6. Step 6: Final answer
    x = 929.36

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.