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Finding the Third Proportional to 66,469 and 144,602

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Solution

The third proportional to 66,469 and 144,602 is: 314,578.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,469 : 144,602 = 144,602 : x
  2. Step 2: Convert to fraction form
    66,469/144,602 = 144,602/x
  3. Step 3: Cross multiply
    66,469x = 144,602 × 144,602
  4. Step 4: Simplify right side
    66,469x = 20,909,738,404
  5. Step 5: Solve for x
    x = 20,909,738,404/66,469
  6. Step 6: Final answer
    x = 314,578.80

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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.