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Finding the Third Proportional to 142,122 and 236,859

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Solution

The third proportional to 142,122 and 236,859 is: 394,746.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,122 : 236,859 = 236,859 : x
  2. Step 2: Convert to fraction form
    142,122/236,859 = 236,859/x
  3. Step 3: Cross multiply
    142,122x = 236,859 × 236,859
  4. Step 4: Simplify right side
    142,122x = 56,102,185,881
  5. Step 5: Solve for x
    x = 56,102,185,881/142,122
  6. Step 6: Final answer
    x = 394,746.67

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.