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Finding the Third Proportional to 420,341 and 669,169.50

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Solution

The third proportional to 420,341 and 669,169.50 is: 1,065,296.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,341 : 669,169.50 = 669,169.50 : x
  2. Step 2: Convert to fraction form
    420,341/669,169.50 = 669,169.50/x
  3. Step 3: Cross multiply
    420,341x = 669,169.50 × 669,169.50
  4. Step 4: Simplify right side
    420,341x = 447,787,819,730.25
  5. Step 5: Solve for x
    x = 447,787,819,730.25/420,341
  6. Step 6: Final answer
    x = 1,065,296.56

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.