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Finding the Third Proportional to 61,875 and 135,342

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Solution

The third proportional to 61,875 and 135,342 is: 296,039.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,875 : 135,342 = 135,342 : x
  2. Step 2: Convert to fraction form
    61,875/135,342 = 135,342/x
  3. Step 3: Cross multiply
    61,875x = 135,342 × 135,342
  4. Step 4: Simplify right side
    61,875x = 18,317,456,964
  5. Step 5: Solve for x
    x = 18,317,456,964/61,875
  6. Step 6: Final answer
    x = 296,039.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.