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Finding the Third Proportional to 56,717 and 87,058

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Solution

The third proportional to 56,717 and 87,058 is: 133,630.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,717 : 87,058 = 87,058 : x
  2. Step 2: Convert to fraction form
    56,717/87,058 = 87,058/x
  3. Step 3: Cross multiply
    56,717x = 87,058 × 87,058
  4. Step 4: Simplify right side
    56,717x = 7,579,095,364
  5. Step 5: Solve for x
    x = 7,579,095,364/56,717
  6. Step 6: Final answer
    x = 133,630.05

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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.