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Finding the Third Proportional to 253,216 and 400,966

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Solution

The third proportional to 253,216 and 400,966 is: 634,927.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,216 : 400,966 = 400,966 : x
  2. Step 2: Convert to fraction form
    253,216/400,966 = 400,966/x
  3. Step 3: Cross multiply
    253,216x = 400,966 × 400,966
  4. Step 4: Simplify right side
    253,216x = 160,773,733,156
  5. Step 5: Solve for x
    x = 160,773,733,156/253,216
  6. Step 6: Final answer
    x = 634,927.23

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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.