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Finding the Third Proportional to 142,600.50 and 307,800

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Solution

The third proportional to 142,600.50 and 307,800 is: 664,379.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,600.50 : 307,800 = 307,800 : x
  2. Step 2: Convert to fraction form
    142,600.50/307,800 = 307,800/x
  3. Step 3: Cross multiply
    142,600.50x = 307,800 × 307,800
  4. Step 4: Simplify right side
    142,600.50x = 94,740,840,000
  5. Step 5: Solve for x
    x = 94,740,840,000/142,600.50
  6. Step 6: Final answer
    x = 664,379.44

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.