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Finding the Third Proportional to 90,296 and 139,737

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Solution

The third proportional to 90,296 and 139,737 is: 216,249.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,296 : 139,737 = 139,737 : x
  2. Step 2: Convert to fraction form
    90,296/139,737 = 139,737/x
  3. Step 3: Cross multiply
    90,296x = 139,737 × 139,737
  4. Step 4: Simplify right side
    90,296x = 19,526,429,169
  5. Step 5: Solve for x
    x = 19,526,429,169/90,296
  6. Step 6: Final answer
    x = 216,249.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.