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Finding the Third Proportional to 66,051 and 143,886

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Solution

The third proportional to 66,051 and 143,886 is: 313,442.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,051 : 143,886 = 143,886 : x
  2. Step 2: Convert to fraction form
    66,051/143,886 = 143,886/x
  3. Step 3: Cross multiply
    66,051x = 143,886 × 143,886
  4. Step 4: Simplify right side
    66,051x = 20,703,180,996
  5. Step 5: Solve for x
    x = 20,703,180,996/66,051
  6. Step 6: Final answer
    x = 313,442.36

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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.