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Finding the Third Proportional to 66,751.88 and 145,812.38

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Solution

The third proportional to 66,751.88 and 145,812.38 is: 318,511.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,751.88 : 145,812.38 = 145,812.38 : x
  2. Step 2: Convert to fraction form
    66,751.88/145,812.38 = 145,812.38/x
  3. Step 3: Cross multiply
    66,751.88x = 145,812.38 × 145,812.38
  4. Step 4: Simplify right side
    66,751.88x = 21,261,248,703.14
  5. Step 5: Solve for x
    x = 21,261,248,703.14/66,751.88
  6. Step 6: Final answer
    x = 318,511.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.