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Finding the Third Proportional to 218,893.50 and 314,516.25

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Solution

The third proportional to 218,893.50 and 314,516.25 is: 451,911.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,893.50 : 314,516.25 = 314,516.25 : x
  2. Step 2: Convert to fraction form
    218,893.50/314,516.25 = 314,516.25/x
  3. Step 3: Cross multiply
    218,893.50x = 314,516.25 × 314,516.25
  4. Step 4: Simplify right side
    218,893.50x = 98,920,471,514.06
  5. Step 5: Solve for x
    x = 98,920,471,514.06/218,893.50
  6. Step 6: Final answer
    x = 451,911.42

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.