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Finding the Third Proportional to 66,583 and 142,643

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Solution

The third proportional to 66,583 and 142,643 is: 305,588.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,583 : 142,643 = 142,643 : x
  2. Step 2: Convert to fraction form
    66,583/142,643 = 142,643/x
  3. Step 3: Cross multiply
    66,583x = 142,643 × 142,643
  4. Step 4: Simplify right side
    66,583x = 20,347,025,449
  5. Step 5: Solve for x
    x = 20,347,025,449/66,583
  6. Step 6: Final answer
    x = 305,588.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.