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Finding the Third Proportional to 61,072 and 87,128

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Solution

The third proportional to 61,072 and 87,128 is: 124,300.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,072 : 87,128 = 87,128 : x
  2. Step 2: Convert to fraction form
    61,072/87,128 = 87,128/x
  3. Step 3: Cross multiply
    61,072x = 87,128 × 87,128
  4. Step 4: Simplify right side
    61,072x = 7,591,288,384
  5. Step 5: Solve for x
    x = 7,591,288,384/61,072
  6. Step 6: Final answer
    x = 124,300.64

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.