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Finding the Third Proportional to 156,679 and 228,415

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Solution

The third proportional to 156,679 and 228,415 is: 332,995.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,679 : 228,415 = 228,415 : x
  2. Step 2: Convert to fraction form
    156,679/228,415 = 228,415/x
  3. Step 3: Cross multiply
    156,679x = 228,415 × 228,415
  4. Step 4: Simplify right side
    156,679x = 52,173,412,225
  5. Step 5: Solve for x
    x = 52,173,412,225/156,679
  6. Step 6: Final answer
    x = 332,995.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.