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Finding the Third Proportional to 142,652 and 220,764.50

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Solution

The third proportional to 142,652 and 220,764.50 is: 341,649.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,652 : 220,764.50 = 220,764.50 : x
  2. Step 2: Convert to fraction form
    142,652/220,764.50 = 220,764.50/x
  3. Step 3: Cross multiply
    142,652x = 220,764.50 × 220,764.50
  4. Step 4: Simplify right side
    142,652x = 48,736,964,460.25
  5. Step 5: Solve for x
    x = 48,736,964,460.25/142,652
  6. Step 6: Final answer
    x = 341,649.36

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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.