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Finding the Third Proportional to 1,689,747 and 3,631,429.50

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Solution

The third proportional to 1,689,747 and 3,631,429.50 is: 7,804,292.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689,747 : 3,631,429.50 = 3,631,429.50 : x
  2. Step 2: Convert to fraction form
    1,689,747/3,631,429.50 = 3,631,429.50/x
  3. Step 3: Cross multiply
    1,689,747x = 3,631,429.50 × 3,631,429.50
  4. Step 4: Simplify right side
    1,689,747x = 13,187,280,213,470.25
  5. Step 5: Solve for x
    x = 13,187,280,213,470.25/1,689,747
  6. Step 6: Final answer
    x = 7,804,292.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.