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Finding the Third Proportional to 56,853 and 87,018

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Solution

The third proportional to 56,853 and 87,018 is: 133,187.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,853 : 87,018 = 87,018 : x
  2. Step 2: Convert to fraction form
    56,853/87,018 = 87,018/x
  3. Step 3: Cross multiply
    56,853x = 87,018 × 87,018
  4. Step 4: Simplify right side
    56,853x = 7,572,132,324
  5. Step 5: Solve for x
    x = 7,572,132,324/56,853
  6. Step 6: Final answer
    x = 133,187.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.