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Finding the Third Proportional to 66,617 and 143,115.50

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Solution

The third proportional to 66,617 and 143,115.50 is: 307,459.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,617 : 143,115.50 = 143,115.50 : x
  2. Step 2: Convert to fraction form
    66,617/143,115.50 = 143,115.50/x
  3. Step 3: Cross multiply
    66,617x = 143,115.50 × 143,115.50
  4. Step 4: Simplify right side
    66,617x = 20,482,046,340.25
  5. Step 5: Solve for x
    x = 20,482,046,340.25/66,617
  6. Step 6: Final answer
    x = 307,459.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.