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Finding the Third Proportional to 57,916 and 87,018

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Solution

The third proportional to 57,916 and 87,018 is: 130,743.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,916 : 87,018 = 87,018 : x
  2. Step 2: Convert to fraction form
    57,916/87,018 = 87,018/x
  3. Step 3: Cross multiply
    57,916x = 87,018 × 87,018
  4. Step 4: Simplify right side
    57,916x = 7,572,132,324
  5. Step 5: Solve for x
    x = 7,572,132,324/57,916
  6. Step 6: Final answer
    x = 130,743.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.