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Finding the Third Proportional to 212,746 and 315,011

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Solution

The third proportional to 212,746 and 315,011 is: 466,433.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,746 : 315,011 = 315,011 : x
  2. Step 2: Convert to fraction form
    212,746/315,011 = 315,011/x
  3. Step 3: Cross multiply
    212,746x = 315,011 × 315,011
  4. Step 4: Simplify right side
    212,746x = 99,231,930,121
  5. Step 5: Solve for x
    x = 99,231,930,121/212,746
  6. Step 6: Final answer
    x = 466,433.82

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.