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Finding the Third Proportional to 9,139,782 and 19,852,909.50

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Solution

The third proportional to 9,139,782 and 19,852,909.50 is: 43,123,349.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,139,782 : 19,852,909.50 = 19,852,909.50 : x
  2. Step 2: Convert to fraction form
    9,139,782/19,852,909.50 = 19,852,909.50/x
  3. Step 3: Cross multiply
    9,139,782x = 19,852,909.50 × 19,852,909.50
  4. Step 4: Simplify right side
    9,139,782x = 394,138,015,615,190.25
  5. Step 5: Solve for x
    x = 394,138,015,615,190.25/9,139,782
  6. Step 6: Final answer
    x = 43,123,349.73

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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.