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Finding the Third Proportional to 157,831 and 212,648

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Solution

The third proportional to 157,831 and 212,648 is: 286,503.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,831 : 212,648 = 212,648 : x
  2. Step 2: Convert to fraction form
    157,831/212,648 = 212,648/x
  3. Step 3: Cross multiply
    157,831x = 212,648 × 212,648
  4. Step 4: Simplify right side
    157,831x = 45,219,171,904
  5. Step 5: Solve for x
    x = 45,219,171,904/157,831
  6. Step 6: Final answer
    x = 286,503.74

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.