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Finding the Third Proportional to 357,183 and 486,415

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Solution

The third proportional to 357,183 and 486,415 is: 662,404.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,183 : 486,415 = 486,415 : x
  2. Step 2: Convert to fraction form
    357,183/486,415 = 486,415/x
  3. Step 3: Cross multiply
    357,183x = 486,415 × 486,415
  4. Step 4: Simplify right side
    357,183x = 236,599,552,225
  5. Step 5: Solve for x
    x = 236,599,552,225/357,183
  6. Step 6: Final answer
    x = 662,404.29

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.