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Finding the Third Proportional to 16,220 and 35,209

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Solution

The third proportional to 16,220 and 35,209 is: 76,428.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,220 : 35,209 = 35,209 : x
  2. Step 2: Convert to fraction form
    16,220/35,209 = 35,209/x
  3. Step 3: Cross multiply
    16,220x = 35,209 × 35,209
  4. Step 4: Simplify right side
    16,220x = 1,239,673,681
  5. Step 5: Solve for x
    x = 1,239,673,681/16,220
  6. Step 6: Final answer
    x = 76,428.71

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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.