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Finding the Third Proportional to 66,217 and 144,813

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Solution

The third proportional to 66,217 and 144,813 is: 316,698.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,217 : 144,813 = 144,813 : x
  2. Step 2: Convert to fraction form
    66,217/144,813 = 144,813/x
  3. Step 3: Cross multiply
    66,217x = 144,813 × 144,813
  4. Step 4: Simplify right side
    66,217x = 20,970,804,969
  5. Step 5: Solve for x
    x = 20,970,804,969/66,217
  6. Step 6: Final answer
    x = 316,698.20

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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.