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Finding the Third Proportional to 66,920.50 and 145,505

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Solution

The third proportional to 66,920.50 and 145,505 is: 316,370.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,920.50 : 145,505 = 145,505 : x
  2. Step 2: Convert to fraction form
    66,920.50/145,505 = 145,505/x
  3. Step 3: Cross multiply
    66,920.50x = 145,505 × 145,505
  4. Step 4: Simplify right side
    66,920.50x = 21,171,705,025
  5. Step 5: Solve for x
    x = 21,171,705,025/66,920.50
  6. Step 6: Final answer
    x = 316,370.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.