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Finding the Third Proportional to 8,402.48 and 11,776.01

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Solution

The third proportional to 8,402.48 and 11,776.01 is: 16,503.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.48 : 11,776.01 = 11,776.01 : x
  2. Step 2: Convert to fraction form
    8,402.48/11,776.01 = 11,776.01/x
  3. Step 3: Cross multiply
    8,402.48x = 11,776.01 × 11,776.01
  4. Step 4: Simplify right side
    8,402.48x = 138,674,360.00
  5. Step 5: Solve for x
    x = 138,674,360.00/8,402.48
  6. Step 6: Final answer
    x = 16,503.97

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.