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Finding the Third Proportional to 142,638.75 and 301,194.75

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Solution

The third proportional to 142,638.75 and 301,194.75 is: 636,000.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,638.75 : 301,194.75 = 301,194.75 : x
  2. Step 2: Convert to fraction form
    142,638.75/301,194.75 = 301,194.75/x
  3. Step 3: Cross multiply
    142,638.75x = 301,194.75 × 301,194.75
  4. Step 4: Simplify right side
    142,638.75x = 90,718,277,427.56
  5. Step 5: Solve for x
    x = 90,718,277,427.56/142,638.75
  6. Step 6: Final answer
    x = 636,000.23

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.