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Finding the Third Proportional to 5,640 and 12,988

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Solution

The third proportional to 5,640 and 12,988 is: 29,909.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640 : 12,988 = 12,988 : x
  2. Step 2: Convert to fraction form
    5,640/12,988 = 12,988/x
  3. Step 3: Cross multiply
    5,640x = 12,988 × 12,988
  4. Step 4: Simplify right side
    5,640x = 168,688,144
  5. Step 5: Solve for x
    x = 168,688,144/5,640
  6. Step 6: Final answer
    x = 29,909.25

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.