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Finding the Third Proportional to 142,034 and 220,803

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Solution

The third proportional to 142,034 and 220,803 is: 343,255.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,034 : 220,803 = 220,803 : x
  2. Step 2: Convert to fraction form
    142,034/220,803 = 220,803/x
  3. Step 3: Cross multiply
    142,034x = 220,803 × 220,803
  4. Step 4: Simplify right side
    142,034x = 48,753,964,809
  5. Step 5: Solve for x
    x = 48,753,964,809/142,034
  6. Step 6: Final answer
    x = 343,255.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.