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Finding the Third Proportional to 2,078,813 and 3,109,742.50

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Solution

The third proportional to 2,078,813 and 3,109,742.50 is: 4,651,932.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078,813 : 3,109,742.50 = 3,109,742.50 : x
  2. Step 2: Convert to fraction form
    2,078,813/3,109,742.50 = 3,109,742.50/x
  3. Step 3: Cross multiply
    2,078,813x = 3,109,742.50 × 3,109,742.50
  4. Step 4: Simplify right side
    2,078,813x = 9,670,498,416,306.25
  5. Step 5: Solve for x
    x = 9,670,498,416,306.25/2,078,813
  6. Step 6: Final answer
    x = 4,651,932.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.