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Finding the Third Proportional to 19,680 and 29,220

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Solution

The third proportional to 19,680 and 29,220 is: 43,384.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,680 : 29,220 = 29,220 : x
  2. Step 2: Convert to fraction form
    19,680/29,220 = 29,220/x
  3. Step 3: Cross multiply
    19,680x = 29,220 × 29,220
  4. Step 4: Simplify right side
    19,680x = 853,808,400
  5. Step 5: Solve for x
    x = 853,808,400/19,680
  6. Step 6: Final answer
    x = 43,384.57

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.