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Finding the Third Proportional to 214,284 and 320,373.75

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Solution

The third proportional to 214,284 and 320,373.75 is: 478,987.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,284 : 320,373.75 = 320,373.75 : x
  2. Step 2: Convert to fraction form
    214,284/320,373.75 = 320,373.75/x
  3. Step 3: Cross multiply
    214,284x = 320,373.75 × 320,373.75
  4. Step 4: Simplify right side
    214,284x = 102,639,339,689.06
  5. Step 5: Solve for x
    x = 102,639,339,689.06/214,284
  6. Step 6: Final answer
    x = 478,987.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.