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Finding the Third Proportional to 253,214 and 400,963

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Solution

The third proportional to 253,214 and 400,963 is: 634,922.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,214 : 400,963 = 400,963 : x
  2. Step 2: Convert to fraction form
    253,214/400,963 = 400,963/x
  3. Step 3: Cross multiply
    253,214x = 400,963 × 400,963
  4. Step 4: Simplify right side
    253,214x = 160,771,327,369
  5. Step 5: Solve for x
    x = 160,771,327,369/253,214
  6. Step 6: Final answer
    x = 634,922.74

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.