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Finding the Third Proportional to 61,355 and 133,817

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Solution

The third proportional to 61,355 and 133,817 is: 291,858.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,355 : 133,817 = 133,817 : x
  2. Step 2: Convert to fraction form
    61,355/133,817 = 133,817/x
  3. Step 3: Cross multiply
    61,355x = 133,817 × 133,817
  4. Step 4: Simplify right side
    61,355x = 17,906,989,489
  5. Step 5: Solve for x
    x = 17,906,989,489/61,355
  6. Step 6: Final answer
    x = 291,858.68

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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.