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Finding the Third Proportional to 31,429 and 68,690

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Solution

The third proportional to 31,429 and 68,690 is: 150,126.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,429 : 68,690 = 68,690 : x
  2. Step 2: Convert to fraction form
    31,429/68,690 = 68,690/x
  3. Step 3: Cross multiply
    31,429x = 68,690 × 68,690
  4. Step 4: Simplify right side
    31,429x = 4,718,316,100
  5. Step 5: Solve for x
    x = 4,718,316,100/31,429
  6. Step 6: Final answer
    x = 150,126.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.