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Finding the Third Proportional to 61,985 and 127,237

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Solution

The third proportional to 61,985 and 127,237 is: 261,180.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,985 : 127,237 = 127,237 : x
  2. Step 2: Convert to fraction form
    61,985/127,237 = 127,237/x
  3. Step 3: Cross multiply
    61,985x = 127,237 × 127,237
  4. Step 4: Simplify right side
    61,985x = 16,189,254,169
  5. Step 5: Solve for x
    x = 16,189,254,169/61,985
  6. Step 6: Final answer
    x = 261,180.19

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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.