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Finding the Third Proportional to 310,321 and 474,500

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Solution

The third proportional to 310,321 and 474,500 is: 725,539.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,321 : 474,500 = 474,500 : x
  2. Step 2: Convert to fraction form
    310,321/474,500 = 474,500/x
  3. Step 3: Cross multiply
    310,321x = 474,500 × 474,500
  4. Step 4: Simplify right side
    310,321x = 225,150,250,000
  5. Step 5: Solve for x
    x = 225,150,250,000/310,321
  6. Step 6: Final answer
    x = 725,539.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.