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Finding the Third Proportional to 425,695 and 640,330.25

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Solution

The third proportional to 425,695 and 640,330.25 is: 963,184.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,695 : 640,330.25 = 640,330.25 : x
  2. Step 2: Convert to fraction form
    425,695/640,330.25 = 640,330.25/x
  3. Step 3: Cross multiply
    425,695x = 640,330.25 × 640,330.25
  4. Step 4: Simplify right side
    425,695x = 410,022,829,065.06
  5. Step 5: Solve for x
    x = 410,022,829,065.06/425,695
  6. Step 6: Final answer
    x = 963,184.51

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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.