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Finding the Third Proportional to 19,988 and 29,214

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Solution

The third proportional to 19,988 and 29,214 is: 42,698.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,988 : 29,214 = 29,214 : x
  2. Step 2: Convert to fraction form
    19,988/29,214 = 29,214/x
  3. Step 3: Cross multiply
    19,988x = 29,214 × 29,214
  4. Step 4: Simplify right side
    19,988x = 853,457,796
  5. Step 5: Solve for x
    x = 853,457,796/19,988
  6. Step 6: Final answer
    x = 42,698.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.