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Finding the Third Proportional to 67,290.75 and 144,237.38

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Solution

The third proportional to 67,290.75 and 144,237.38 is: 309,172.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,290.75 : 144,237.38 = 144,237.38 : x
  2. Step 2: Convert to fraction form
    67,290.75/144,237.38 = 144,237.38/x
  3. Step 3: Cross multiply
    67,290.75x = 144,237.38 × 144,237.38
  4. Step 4: Simplify right side
    67,290.75x = 20,804,420,346.89
  5. Step 5: Solve for x
    x = 20,804,420,346.89/67,290.75
  6. Step 6: Final answer
    x = 309,172.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.