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Finding the Third Proportional to 72,039.38 and 105,723

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Solution

The third proportional to 72,039.38 and 105,723 is: 155,156.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,039.38 : 105,723 = 105,723 : x
  2. Step 2: Convert to fraction form
    72,039.38/105,723 = 105,723/x
  3. Step 3: Cross multiply
    72,039.38x = 105,723 × 105,723
  4. Step 4: Simplify right side
    72,039.38x = 11,177,352,729
  5. Step 5: Solve for x
    x = 11,177,352,729/72,039.38
  6. Step 6: Final answer
    x = 155,156.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.