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Finding the Third Proportional to 61,236 and 133,407

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Solution

The third proportional to 61,236 and 133,407 is: 290,636.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,236 : 133,407 = 133,407 : x
  2. Step 2: Convert to fraction form
    61,236/133,407 = 133,407/x
  3. Step 3: Cross multiply
    61,236x = 133,407 × 133,407
  4. Step 4: Simplify right side
    61,236x = 17,797,427,649
  5. Step 5: Solve for x
    x = 17,797,427,649/61,236
  6. Step 6: Final answer
    x = 290,636.68

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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.