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Finding the Third Proportional to 379,786 and 590,415

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Solution

The third proportional to 379,786 and 590,415 is: 917,858.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,786 : 590,415 = 590,415 : x
  2. Step 2: Convert to fraction form
    379,786/590,415 = 590,415/x
  3. Step 3: Cross multiply
    379,786x = 590,415 × 590,415
  4. Step 4: Simplify right side
    379,786x = 348,589,872,225
  5. Step 5: Solve for x
    x = 348,589,872,225/379,786
  6. Step 6: Final answer
    x = 917,858.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.