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Finding the Third Proportional to 19,680 and 29,456

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Solution

The third proportional to 19,680 and 29,456 is: 44,088.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,680 : 29,456 = 29,456 : x
  2. Step 2: Convert to fraction form
    19,680/29,456 = 29,456/x
  3. Step 3: Cross multiply
    19,680x = 29,456 × 29,456
  4. Step 4: Simplify right side
    19,680x = 867,655,936
  5. Step 5: Solve for x
    x = 867,655,936/19,680
  6. Step 6: Final answer
    x = 44,088.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.