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Finding the Third Proportional to 71,317 and 99,714

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Solution

The third proportional to 71,317 and 99,714 is: 139,418.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,317 : 99,714 = 99,714 : x
  2. Step 2: Convert to fraction form
    71,317/99,714 = 99,714/x
  3. Step 3: Cross multiply
    71,317x = 99,714 × 99,714
  4. Step 4: Simplify right side
    71,317x = 9,942,881,796
  5. Step 5: Solve for x
    x = 9,942,881,796/71,317
  6. Step 6: Final answer
    x = 139,418.12

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.