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Finding the Third Proportional to 90,717.75 and 143,032.50

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Solution

The third proportional to 90,717.75 and 143,032.50 is: 225,515.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,717.75 : 143,032.50 = 143,032.50 : x
  2. Step 2: Convert to fraction form
    90,717.75/143,032.50 = 143,032.50/x
  3. Step 3: Cross multiply
    90,717.75x = 143,032.50 × 143,032.50
  4. Step 4: Simplify right side
    90,717.75x = 20,458,296,056.25
  5. Step 5: Solve for x
    x = 20,458,296,056.25/90,717.75
  6. Step 6: Final answer
    x = 225,515.91

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.