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Finding the Third Proportional to 61,283 and 128,749

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Solution

The third proportional to 61,283 and 128,749 is: 270,487.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,283 : 128,749 = 128,749 : x
  2. Step 2: Convert to fraction form
    61,283/128,749 = 128,749/x
  3. Step 3: Cross multiply
    61,283x = 128,749 × 128,749
  4. Step 4: Simplify right side
    61,283x = 16,576,305,001
  5. Step 5: Solve for x
    x = 16,576,305,001/61,283
  6. Step 6: Final answer
    x = 270,487.82

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.