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Finding the Third Proportional to 310,380 and 474,586

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Solution

The third proportional to 310,380 and 474,586 is: 725,664.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,380 : 474,586 = 474,586 : x
  2. Step 2: Convert to fraction form
    310,380/474,586 = 474,586/x
  3. Step 3: Cross multiply
    310,380x = 474,586 × 474,586
  4. Step 4: Simplify right side
    310,380x = 225,231,871,396
  5. Step 5: Solve for x
    x = 225,231,871,396/310,380
  6. Step 6: Final answer
    x = 725,664.90

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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.