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Finding the Third Proportional to 414,165.50 and 640,931.50

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Solution

The third proportional to 414,165.50 and 640,931.50 is: 991,857.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,165.50 : 640,931.50 = 640,931.50 : x
  2. Step 2: Convert to fraction form
    414,165.50/640,931.50 = 640,931.50/x
  3. Step 3: Cross multiply
    414,165.50x = 640,931.50 × 640,931.50
  4. Step 4: Simplify right side
    414,165.50x = 410,793,187,692.25
  5. Step 5: Solve for x
    x = 410,793,187,692.25/414,165.50
  6. Step 6: Final answer
    x = 991,857.57

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Why These Related Problems?

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