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Finding the Third Proportional to 38,477.53 and 78,663.66

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Solution

The third proportional to 38,477.53 and 78,663.66 is: 160,820.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,477.53 : 78,663.66 = 78,663.66 : x
  2. Step 2: Convert to fraction form
    38,477.53/78,663.66 = 78,663.66/x
  3. Step 3: Cross multiply
    38,477.53x = 78,663.66 × 78,663.66
  4. Step 4: Simplify right side
    38,477.53x = 6,187,970,814.62
  5. Step 5: Solve for x
    x = 6,187,970,814.62/38,477.53
  6. Step 6: Final answer
    x = 160,820.37

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.