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Finding the Third Proportional to 66,543 and 143,634

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Solution

The third proportional to 66,543 and 143,634 is: 310,036.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,543 : 143,634 = 143,634 : x
  2. Step 2: Convert to fraction form
    66,543/143,634 = 143,634/x
  3. Step 3: Cross multiply
    66,543x = 143,634 × 143,634
  4. Step 4: Simplify right side
    66,543x = 20,630,725,956
  5. Step 5: Solve for x
    x = 20,630,725,956/66,543
  6. Step 6: Final answer
    x = 310,036.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.