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Finding the Third Proportional to 310,743 and 479,852

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Solution

The third proportional to 310,743 and 479,852 is: 740,991.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,743 : 479,852 = 479,852 : x
  2. Step 2: Convert to fraction form
    310,743/479,852 = 479,852/x
  3. Step 3: Cross multiply
    310,743x = 479,852 × 479,852
  4. Step 4: Simplify right side
    310,743x = 230,257,941,904
  5. Step 5: Solve for x
    x = 230,257,941,904/310,743
  6. Step 6: Final answer
    x = 740,991.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.