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Finding the Third Proportional to 3,730 and 4,090

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Solution

The third proportional to 3,730 and 4,090 is: 4,484.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730 : 4,090 = 4,090 : x
  2. Step 2: Convert to fraction form
    3,730/4,090 = 4,090/x
  3. Step 3: Cross multiply
    3,730x = 4,090 × 4,090
  4. Step 4: Simplify right side
    3,730x = 16,728,100
  5. Step 5: Solve for x
    x = 16,728,100/3,730
  6. Step 6: Final answer
    x = 4,484.75

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.