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Finding the Third Proportional to 28,906 and 45,866

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Solution

The third proportional to 28,906 and 45,866 is: 72,776.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,906 : 45,866 = 45,866 : x
  2. Step 2: Convert to fraction form
    28,906/45,866 = 45,866/x
  3. Step 3: Cross multiply
    28,906x = 45,866 × 45,866
  4. Step 4: Simplify right side
    28,906x = 2,103,689,956
  5. Step 5: Solve for x
    x = 2,103,689,956/28,906
  6. Step 6: Final answer
    x = 72,776.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.