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Finding the Third Proportional to 109,120,350.50 and 236,403,150.50

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Solution

The third proportional to 109,120,350.50 and 236,403,150.50 is: 512,154,234.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,120,350.50 : 236,403,150.50 = 236,403,150.50 : x
  2. Step 2: Convert to fraction form
    109,120,350.50/236,403,150.50 = 236,403,150.50/x
  3. Step 3: Cross multiply
    109,120,350.50x = 236,403,150.50 × 236,403,150.50
  4. Step 4: Simplify right side
    109,120,350.50x = 55,886,449,566,325,648
  5. Step 5: Solve for x
    x = 55,886,449,566,325,648/109,120,350.50
  6. Step 6: Final answer
    x = 512,154,234.39

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.