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Finding the Third Proportional to 425,772 and 640,440

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Solution

The third proportional to 425,772 and 640,440 is: 963,340.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,772 : 640,440 = 640,440 : x
  2. Step 2: Convert to fraction form
    425,772/640,440 = 640,440/x
  3. Step 3: Cross multiply
    425,772x = 640,440 × 640,440
  4. Step 4: Simplify right side
    425,772x = 410,163,393,600
  5. Step 5: Solve for x
    x = 410,163,393,600/425,772
  6. Step 6: Final answer
    x = 963,340.46

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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.