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Finding the Third Proportional to 212,442 and 315,774

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Solution

The third proportional to 212,442 and 315,774 is: 469,366.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,442 : 315,774 = 315,774 : x
  2. Step 2: Convert to fraction form
    212,442/315,774 = 315,774/x
  3. Step 3: Cross multiply
    212,442x = 315,774 × 315,774
  4. Step 4: Simplify right side
    212,442x = 99,713,219,076
  5. Step 5: Solve for x
    x = 99,713,219,076/212,442
  6. Step 6: Final answer
    x = 469,366.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.