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Finding the Third Proportional to 693.38 and 1,073.63

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Solution

The third proportional to 693.38 and 1,073.63 is: 1,662.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.38 : 1,073.63 = 1,073.63 : x
  2. Step 2: Convert to fraction form
    693.38/1,073.63 = 1,073.63/x
  3. Step 3: Cross multiply
    693.38x = 1,073.63 × 1,073.63
  4. Step 4: Simplify right side
    693.38x = 1,152,670.64
  5. Step 5: Solve for x
    x = 1,152,670.64/693.38
  6. Step 6: Final answer
    x = 1,662.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.