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Finding the Third Proportional to 66,565 and 144,795

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Solution

The third proportional to 66,565 and 144,795 is: 314,964.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,565 : 144,795 = 144,795 : x
  2. Step 2: Convert to fraction form
    66,565/144,795 = 144,795/x
  3. Step 3: Cross multiply
    66,565x = 144,795 × 144,795
  4. Step 4: Simplify right side
    66,565x = 20,965,592,025
  5. Step 5: Solve for x
    x = 20,965,592,025/66,565
  6. Step 6: Final answer
    x = 314,964.20

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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.