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Finding the Third Proportional to 215,613 and 332,415

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Solution

The third proportional to 215,613 and 332,415 is: 512,491.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,613 : 332,415 = 332,415 : x
  2. Step 2: Convert to fraction form
    215,613/332,415 = 332,415/x
  3. Step 3: Cross multiply
    215,613x = 332,415 × 332,415
  4. Step 4: Simplify right side
    215,613x = 110,499,732,225
  5. Step 5: Solve for x
    x = 110,499,732,225/215,613
  6. Step 6: Final answer
    x = 512,491.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.