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Finding the Third Proportional to 66,410 and 143,188

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Solution

The third proportional to 66,410 and 143,188 is: 308,730.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,410 : 143,188 = 143,188 : x
  2. Step 2: Convert to fraction form
    66,410/143,188 = 143,188/x
  3. Step 3: Cross multiply
    66,410x = 143,188 × 143,188
  4. Step 4: Simplify right side
    66,410x = 20,502,803,344
  5. Step 5: Solve for x
    x = 20,502,803,344/66,410
  6. Step 6: Final answer
    x = 308,730.66

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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.