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Finding the Third Proportional to 310,512 and 480,944

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Solution

The third proportional to 310,512 and 480,944 is: 744,921.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,512 : 480,944 = 480,944 : x
  2. Step 2: Convert to fraction form
    310,512/480,944 = 480,944/x
  3. Step 3: Cross multiply
    310,512x = 480,944 × 480,944
  4. Step 4: Simplify right side
    310,512x = 231,307,131,136
  5. Step 5: Solve for x
    x = 231,307,131,136/310,512
  6. Step 6: Final answer
    x = 744,921.71

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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.