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Finding the Third Proportional to 66,218 and 144,815

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Solution

The third proportional to 66,218 and 144,815 is: 316,702.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,218 : 144,815 = 144,815 : x
  2. Step 2: Convert to fraction form
    66,218/144,815 = 144,815/x
  3. Step 3: Cross multiply
    66,218x = 144,815 × 144,815
  4. Step 4: Simplify right side
    66,218x = 20,971,384,225
  5. Step 5: Solve for x
    x = 20,971,384,225/66,218
  6. Step 6: Final answer
    x = 316,702.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.