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Finding the Third Proportional to 66,582 and 142,641

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Solution

The third proportional to 66,582 and 142,641 is: 305,584.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,582 : 142,641 = 142,641 : x
  2. Step 2: Convert to fraction form
    66,582/142,641 = 142,641/x
  3. Step 3: Cross multiply
    66,582x = 142,641 × 142,641
  4. Step 4: Simplify right side
    66,582x = 20,346,454,881
  5. Step 5: Solve for x
    x = 20,346,454,881/66,582
  6. Step 6: Final answer
    x = 305,584.92

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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.