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Finding the Third Proportional to 608,625 and 946,162.50

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Solution

The third proportional to 608,625 and 946,162.50 is: 1,470,895.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,625 : 946,162.50 = 946,162.50 : x
  2. Step 2: Convert to fraction form
    608,625/946,162.50 = 946,162.50/x
  3. Step 3: Cross multiply
    608,625x = 946,162.50 × 946,162.50
  4. Step 4: Simplify right side
    608,625x = 895,223,476,406.25
  5. Step 5: Solve for x
    x = 895,223,476,406.25/608,625
  6. Step 6: Final answer
    x = 1,470,895.01

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.