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Finding the Third Proportional to 5,285.50 and 7,877

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Solution

The third proportional to 5,285.50 and 7,877 is: 11,739.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,285.50 : 7,877 = 7,877 : x
  2. Step 2: Convert to fraction form
    5,285.50/7,877 = 7,877/x
  3. Step 3: Cross multiply
    5,285.50x = 7,877 × 7,877
  4. Step 4: Simplify right side
    5,285.50x = 62,047,129
  5. Step 5: Solve for x
    x = 62,047,129/5,285.50
  6. Step 6: Final answer
    x = 11,739.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.