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Finding the Third Proportional to 157,821 and 212,634

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Solution

The third proportional to 157,821 and 212,634 is: 286,484.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,821 : 212,634 = 212,634 : x
  2. Step 2: Convert to fraction form
    157,821/212,634 = 212,634/x
  3. Step 3: Cross multiply
    157,821x = 212,634 × 212,634
  4. Step 4: Simplify right side
    157,821x = 45,213,217,956
  5. Step 5: Solve for x
    x = 45,213,217,956/157,821
  6. Step 6: Final answer
    x = 286,484.17

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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.