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Finding the Third Proportional to 90,502 and 138,102

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Solution

The third proportional to 90,502 and 138,102 is: 210,737.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,502 : 138,102 = 138,102 : x
  2. Step 2: Convert to fraction form
    90,502/138,102 = 138,102/x
  3. Step 3: Cross multiply
    90,502x = 138,102 × 138,102
  4. Step 4: Simplify right side
    90,502x = 19,072,162,404
  5. Step 5: Solve for x
    x = 19,072,162,404/90,502
  6. Step 6: Final answer
    x = 210,737.47

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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.