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Finding the Third Proportional to 66,142.69 and 145,454.06

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Solution

The third proportional to 66,142.69 and 145,454.06 is: 319,867.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,142.69 : 145,454.06 = 145,454.06 : x
  2. Step 2: Convert to fraction form
    66,142.69/145,454.06 = 145,454.06/x
  3. Step 3: Cross multiply
    66,142.69x = 145,454.06 × 145,454.06
  4. Step 4: Simplify right side
    66,142.69x = 21,156,884,297.75
  5. Step 5: Solve for x
    x = 21,156,884,297.75/66,142.69
  6. Step 6: Final answer
    x = 319,867.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.