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Finding the Third Proportional to 28,557 and 63,231

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Solution

The third proportional to 28,557 and 63,231 is: 140,006.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,557 : 63,231 = 63,231 : x
  2. Step 2: Convert to fraction form
    28,557/63,231 = 63,231/x
  3. Step 3: Cross multiply
    28,557x = 63,231 × 63,231
  4. Step 4: Simplify right side
    28,557x = 3,998,159,361
  5. Step 5: Solve for x
    x = 3,998,159,361/28,557
  6. Step 6: Final answer
    x = 140,006.28

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.