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Finding the Third Proportional to 425,697 and 640,333

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Solution

The third proportional to 425,697 and 640,333 is: 963,188.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,697 : 640,333 = 640,333 : x
  2. Step 2: Convert to fraction form
    425,697/640,333 = 640,333/x
  3. Step 3: Cross multiply
    425,697x = 640,333 × 640,333
  4. Step 4: Simplify right side
    425,697x = 410,026,350,889
  5. Step 5: Solve for x
    x = 410,026,350,889/425,697
  6. Step 6: Final answer
    x = 963,188.26

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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.