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Finding the Third Proportional to 103,639 and 164,108

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Solution

The third proportional to 103,639 and 164,108 is: 259,858.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,639 : 164,108 = 164,108 : x
  2. Step 2: Convert to fraction form
    103,639/164,108 = 164,108/x
  3. Step 3: Cross multiply
    103,639x = 164,108 × 164,108
  4. Step 4: Simplify right side
    103,639x = 26,931,435,664
  5. Step 5: Solve for x
    x = 26,931,435,664/103,639
  6. Step 6: Final answer
    x = 259,858.12

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.