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Finding the Third Proportional to 100,044 and 152,606.81

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Solution

The third proportional to 100,044 and 152,606.81 is: 232,785.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,044 : 152,606.81 = 152,606.81 : x
  2. Step 2: Convert to fraction form
    100,044/152,606.81 = 152,606.81/x
  3. Step 3: Cross multiply
    100,044x = 152,606.81 × 152,606.81
  4. Step 4: Simplify right side
    100,044x = 23,288,839,221.41
  5. Step 5: Solve for x
    x = 23,288,839,221.41/100,044
  6. Step 6: Final answer
    x = 232,785.97

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.