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Finding the Third Proportional to 143,894 and 305,322

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Solution

The third proportional to 143,894 and 305,322 is: 647,848.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,894 : 305,322 = 305,322 : x
  2. Step 2: Convert to fraction form
    143,894/305,322 = 305,322/x
  3. Step 3: Cross multiply
    143,894x = 305,322 × 305,322
  4. Step 4: Simplify right side
    143,894x = 93,221,523,684
  5. Step 5: Solve for x
    x = 93,221,523,684/143,894
  6. Step 6: Final answer
    x = 647,848.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.