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Finding the Third Proportional to 5,946 and 7,703

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Solution

The third proportional to 5,946 and 7,703 is: 9,979.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946 : 7,703 = 7,703 : x
  2. Step 2: Convert to fraction form
    5,946/7,703 = 7,703/x
  3. Step 3: Cross multiply
    5,946x = 7,703 × 7,703
  4. Step 4: Simplify right side
    5,946x = 59,336,209
  5. Step 5: Solve for x
    x = 59,336,209/5,946
  6. Step 6: Final answer
    x = 9,979.18

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.