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Finding the Third Proportional to 66,298 and 143,184

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Solution

The third proportional to 66,298 and 143,184 is: 309,234.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,298 : 143,184 = 143,184 : x
  2. Step 2: Convert to fraction form
    66,298/143,184 = 143,184/x
  3. Step 3: Cross multiply
    66,298x = 143,184 × 143,184
  4. Step 4: Simplify right side
    66,298x = 20,501,657,856
  5. Step 5: Solve for x
    x = 20,501,657,856/66,298
  6. Step 6: Final answer
    x = 309,234.94

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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.