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Finding the Third Proportional to 212,774 and 315,053

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Solution

The third proportional to 212,774 and 315,053 is: 466,496.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,774 : 315,053 = 315,053 : x
  2. Step 2: Convert to fraction form
    212,774/315,053 = 315,053/x
  3. Step 3: Cross multiply
    212,774x = 315,053 × 315,053
  4. Step 4: Simplify right side
    212,774x = 99,258,392,809
  5. Step 5: Solve for x
    x = 99,258,392,809/212,774
  6. Step 6: Final answer
    x = 466,496.81

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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.