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Finding the Third Proportional to 872,140,314.38 and 1,340,540,067.38

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Solution

The third proportional to 872,140,314.38 and 1,340,540,067.38 is: 2,060,502,928.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,140,314.38 : 1,340,540,067.38 = 1,340,540,067.38 : x
  2. Step 2: Convert to fraction form
    872,140,314.38/1,340,540,067.38 = 1,340,540,067.38/x
  3. Step 3: Cross multiply
    872,140,314.38x = 1,340,540,067.38 × 1,340,540,067.38
  4. Step 4: Simplify right side
    872,140,314.38x = 1,797,047,672,237,769,472
  5. Step 5: Solve for x
    x = 1,797,047,672,237,769,472/872,140,314.38
  6. Step 6: Final answer
    x = 2,060,502,928.96

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.