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Finding the Third Proportional to 74,039.13 and 105,520.69

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Solution

The third proportional to 74,039.13 and 105,520.69 is: 150,388.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,039.13 : 105,520.69 = 105,520.69 : x
  2. Step 2: Convert to fraction form
    74,039.13/105,520.69 = 105,520.69/x
  3. Step 3: Cross multiply
    74,039.13x = 105,520.69 × 105,520.69
  4. Step 4: Simplify right side
    74,039.13x = 11,134,615,490.47
  5. Step 5: Solve for x
    x = 11,134,615,490.47/74,039.13
  6. Step 6: Final answer
    x = 150,388.26

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.