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Finding the Third Proportional to 30,353 and 62,209

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Solution

The third proportional to 30,353 and 62,209 is: 127,498.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,353 : 62,209 = 62,209 : x
  2. Step 2: Convert to fraction form
    30,353/62,209 = 62,209/x
  3. Step 3: Cross multiply
    30,353x = 62,209 × 62,209
  4. Step 4: Simplify right side
    30,353x = 3,869,959,681
  5. Step 5: Solve for x
    x = 3,869,959,681/30,353
  6. Step 6: Final answer
    x = 127,498.42

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.