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Finding the Third Proportional to 142,966 and 305,564

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Solution

The third proportional to 142,966 and 305,564 is: 653,087.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,966 : 305,564 = 305,564 : x
  2. Step 2: Convert to fraction form
    142,966/305,564 = 305,564/x
  3. Step 3: Cross multiply
    142,966x = 305,564 × 305,564
  4. Step 4: Simplify right side
    142,966x = 93,369,358,096
  5. Step 5: Solve for x
    x = 93,369,358,096/142,966
  6. Step 6: Final answer
    x = 653,087.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.