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Finding the Third Proportional to 90,911 and 139,539

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Solution

The third proportional to 90,911 and 139,539 is: 214,177.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,911 : 139,539 = 139,539 : x
  2. Step 2: Convert to fraction form
    90,911/139,539 = 139,539/x
  3. Step 3: Cross multiply
    90,911x = 139,539 × 139,539
  4. Step 4: Simplify right side
    90,911x = 19,471,132,521
  5. Step 5: Solve for x
    x = 19,471,132,521/90,911
  6. Step 6: Final answer
    x = 214,177.96

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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.