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Finding the Third Proportional to 5,829,112.13 and 9,143,016.19

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Solution

The third proportional to 5,829,112.13 and 9,143,016.19 is: 14,340,905.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829,112.13 : 9,143,016.19 = 9,143,016.19 : x
  2. Step 2: Convert to fraction form
    5,829,112.13/9,143,016.19 = 9,143,016.19/x
  3. Step 3: Cross multiply
    5,829,112.13x = 9,143,016.19 × 9,143,016.19
  4. Step 4: Simplify right side
    5,829,112.13x = 83,594,745,004,887.03
  5. Step 5: Solve for x
    x = 83,594,745,004,887.03/5,829,112.13
  6. Step 6: Final answer
    x = 14,340,905.31

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.