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Finding the Third Proportional to 66,530 and 143,428

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Solution

The third proportional to 66,530 and 143,428 is: 309,207.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,530 : 143,428 = 143,428 : x
  2. Step 2: Convert to fraction form
    66,530/143,428 = 143,428/x
  3. Step 3: Cross multiply
    66,530x = 143,428 × 143,428
  4. Step 4: Simplify right side
    66,530x = 20,571,591,184
  5. Step 5: Solve for x
    x = 20,571,591,184/66,530
  6. Step 6: Final answer
    x = 309,207.74

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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.