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Finding the Third Proportional to 933.61 and 1,988.72

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Solution

The third proportional to 933.61 and 1,988.72 is: 4,236.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.61 : 1,988.72 = 1,988.72 : x
  2. Step 2: Convert to fraction form
    933.61/1,988.72 = 1,988.72/x
  3. Step 3: Cross multiply
    933.61x = 1,988.72 × 1,988.72
  4. Step 4: Simplify right side
    933.61x = 3,955,002.27
  5. Step 5: Solve for x
    x = 3,955,002.27/933.61
  6. Step 6: Final answer
    x = 4,236.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.