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Finding the Third Proportional to 403,520 and 624,420

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Solution

The third proportional to 403,520 and 624,420 is: 966,247.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,520 : 624,420 = 624,420 : x
  2. Step 2: Convert to fraction form
    403,520/624,420 = 624,420/x
  3. Step 3: Cross multiply
    403,520x = 624,420 × 624,420
  4. Step 4: Simplify right side
    403,520x = 389,900,336,400
  5. Step 5: Solve for x
    x = 389,900,336,400/403,520
  6. Step 6: Final answer
    x = 966,247.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.