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Finding the Third Proportional to 10,440 and 22,680

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Solution

The third proportional to 10,440 and 22,680 is: 49,270.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,440 : 22,680 = 22,680 : x
  2. Step 2: Convert to fraction form
    10,440/22,680 = 22,680/x
  3. Step 3: Cross multiply
    10,440x = 22,680 × 22,680
  4. Step 4: Simplify right side
    10,440x = 514,382,400
  5. Step 5: Solve for x
    x = 514,382,400/10,440
  6. Step 6: Final answer
    x = 49,270.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.