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Finding the Third Proportional to 19,730 and 43,099

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Solution

The third proportional to 19,730 and 43,099 is: 94,147.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,730 : 43,099 = 43,099 : x
  2. Step 2: Convert to fraction form
    19,730/43,099 = 43,099/x
  3. Step 3: Cross multiply
    19,730x = 43,099 × 43,099
  4. Step 4: Simplify right side
    19,730x = 1,857,523,801
  5. Step 5: Solve for x
    x = 1,857,523,801/19,730
  6. Step 6: Final answer
    x = 94,147.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.