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Finding the Third Proportional to 310,512 and 632,443

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Solution

The third proportional to 310,512 and 632,443 is: 1,288,143.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,512 : 632,443 = 632,443 : x
  2. Step 2: Convert to fraction form
    310,512/632,443 = 632,443/x
  3. Step 3: Cross multiply
    310,512x = 632,443 × 632,443
  4. Step 4: Simplify right side
    310,512x = 399,984,148,249
  5. Step 5: Solve for x
    x = 399,984,148,249/310,512
  6. Step 6: Final answer
    x = 1,288,143.93

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.