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Finding the Third Proportional to 6,188,674.50 and 9,460,901.25

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Solution

The third proportional to 6,188,674.50 and 9,460,901.25 is: 14,463,299.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188,674.50 : 9,460,901.25 = 9,460,901.25 : x
  2. Step 2: Convert to fraction form
    6,188,674.50/9,460,901.25 = 9,460,901.25/x
  3. Step 3: Cross multiply
    6,188,674.50x = 9,460,901.25 × 9,460,901.25
  4. Step 4: Simplify right side
    6,188,674.50x = 89,508,652,462,251.56
  5. Step 5: Solve for x
    x = 89,508,652,462,251.56/6,188,674.50
  6. Step 6: Final answer
    x = 14,463,299.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.