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Finding the Third Proportional to 5,890 and 13,428

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Solution

The third proportional to 5,890 and 13,428 is: 30,613.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890 : 13,428 = 13,428 : x
  2. Step 2: Convert to fraction form
    5,890/13,428 = 13,428/x
  3. Step 3: Cross multiply
    5,890x = 13,428 × 13,428
  4. Step 4: Simplify right side
    5,890x = 180,311,184
  5. Step 5: Solve for x
    x = 180,311,184/5,890
  6. Step 6: Final answer
    x = 30,613.10

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.