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Finding the Third Proportional to 425,711.25 and 640,360.50

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Solution

The third proportional to 425,711.25 and 640,360.50 is: 963,238.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,711.25 : 640,360.50 = 640,360.50 : x
  2. Step 2: Convert to fraction form
    425,711.25/640,360.50 = 640,360.50/x
  3. Step 3: Cross multiply
    425,711.25x = 640,360.50 × 640,360.50
  4. Step 4: Simplify right side
    425,711.25x = 410,061,569,960.25
  5. Step 5: Solve for x
    x = 410,061,569,960.25/425,711.25
  6. Step 6: Final answer
    x = 963,238.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.