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Finding the Third Proportional to 310,378 and 474,583

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Solution

The third proportional to 310,378 and 474,583 is: 725,660.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,378 : 474,583 = 474,583 : x
  2. Step 2: Convert to fraction form
    310,378/474,583 = 474,583/x
  3. Step 3: Cross multiply
    310,378x = 474,583 × 474,583
  4. Step 4: Simplify right side
    310,378x = 225,229,023,889
  5. Step 5: Solve for x
    x = 225,229,023,889/310,378
  6. Step 6: Final answer
    x = 725,660.40

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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.