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Finding the Third Proportional to 66,270 and 142,428

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Solution

The third proportional to 66,270 and 142,428 is: 306,107.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,270 : 142,428 = 142,428 : x
  2. Step 2: Convert to fraction form
    66,270/142,428 = 142,428/x
  3. Step 3: Cross multiply
    66,270x = 142,428 × 142,428
  4. Step 4: Simplify right side
    66,270x = 20,285,735,184
  5. Step 5: Solve for x
    x = 20,285,735,184/66,270
  6. Step 6: Final answer
    x = 306,107.37

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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.