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Finding the Third Proportional to 143,703.75 and 217,543.69

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Solution

The third proportional to 143,703.75 and 217,543.69 is: 329,325.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,703.75 : 217,543.69 = 217,543.69 : x
  2. Step 2: Convert to fraction form
    143,703.75/217,543.69 = 217,543.69/x
  3. Step 3: Cross multiply
    143,703.75x = 217,543.69 × 217,543.69
  4. Step 4: Simplify right side
    143,703.75x = 47,325,255,971.10
  5. Step 5: Solve for x
    x = 47,325,255,971.10/143,703.75
  6. Step 6: Final answer
    x = 329,325.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.