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Finding the Third Proportional to 620.72 and 988.03

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Solution

The third proportional to 620.72 and 988.03 is: 1,572.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.72 : 988.03 = 988.03 : x
  2. Step 2: Convert to fraction form
    620.72/988.03 = 988.03/x
  3. Step 3: Cross multiply
    620.72x = 988.03 × 988.03
  4. Step 4: Simplify right side
    620.72x = 976,205.75
  5. Step 5: Solve for x
    x = 976,205.75/620.72
  6. Step 6: Final answer
    x = 1,572.70

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.