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Finding the Third Proportional to 443,634 and 620,875

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Solution

The third proportional to 443,634 and 620,875 is: 868,927.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,634 : 620,875 = 620,875 : x
  2. Step 2: Convert to fraction form
    443,634/620,875 = 620,875/x
  3. Step 3: Cross multiply
    443,634x = 620,875 × 620,875
  4. Step 4: Simplify right side
    443,634x = 385,485,765,625
  5. Step 5: Solve for x
    x = 385,485,765,625/443,634
  6. Step 6: Final answer
    x = 868,927.46

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.