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Finding the Third Proportional to 624,243 and 945,420

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Solution

The third proportional to 624,243 and 945,420 is: 1,431,844.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,243 : 945,420 = 945,420 : x
  2. Step 2: Convert to fraction form
    624,243/945,420 = 945,420/x
  3. Step 3: Cross multiply
    624,243x = 945,420 × 945,420
  4. Step 4: Simplify right side
    624,243x = 893,818,976,400
  5. Step 5: Solve for x
    x = 893,818,976,400/624,243
  6. Step 6: Final answer
    x = 1,431,844.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.