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Finding the Third Proportional to 412,551 and 656,415

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Solution

The third proportional to 412,551 and 656,415 is: 1,044,430.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,551 : 656,415 = 656,415 : x
  2. Step 2: Convert to fraction form
    412,551/656,415 = 656,415/x
  3. Step 3: Cross multiply
    412,551x = 656,415 × 656,415
  4. Step 4: Simplify right side
    412,551x = 430,880,652,225
  5. Step 5: Solve for x
    x = 430,880,652,225/412,551
  6. Step 6: Final answer
    x = 1,044,430.03

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.