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Finding the Third Proportional to 156,719 and 236,219

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Solution

The third proportional to 156,719 and 236,219 is: 356,047.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,719 : 236,219 = 236,219 : x
  2. Step 2: Convert to fraction form
    156,719/236,219 = 236,219/x
  3. Step 3: Cross multiply
    156,719x = 236,219 × 236,219
  4. Step 4: Simplify right side
    156,719x = 55,799,415,961
  5. Step 5: Solve for x
    x = 55,799,415,961/156,719
  6. Step 6: Final answer
    x = 356,047.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.