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Finding the Third Proportional to 69,429 and 143,781

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Solution

The third proportional to 69,429 and 143,781 is: 297,757.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,429 : 143,781 = 143,781 : x
  2. Step 2: Convert to fraction form
    69,429/143,781 = 143,781/x
  3. Step 3: Cross multiply
    69,429x = 143,781 × 143,781
  4. Step 4: Simplify right side
    69,429x = 20,672,975,961
  5. Step 5: Solve for x
    x = 20,672,975,961/69,429
  6. Step 6: Final answer
    x = 297,757.08

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.