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Finding the Third Proportional to 90,998 and 139,395

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Solution

The third proportional to 90,998 and 139,395 is: 213,531.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,998 : 139,395 = 139,395 : x
  2. Step 2: Convert to fraction form
    90,998/139,395 = 139,395/x
  3. Step 3: Cross multiply
    90,998x = 139,395 × 139,395
  4. Step 4: Simplify right side
    90,998x = 19,430,966,025
  5. Step 5: Solve for x
    x = 19,430,966,025/90,998
  6. Step 6: Final answer
    x = 213,531.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.