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Finding the Third Proportional to 103,752 and 146,367

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Solution

The third proportional to 103,752 and 146,367 is: 206,485.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,752 : 146,367 = 146,367 : x
  2. Step 2: Convert to fraction form
    103,752/146,367 = 146,367/x
  3. Step 3: Cross multiply
    103,752x = 146,367 × 146,367
  4. Step 4: Simplify right side
    103,752x = 21,423,298,689
  5. Step 5: Solve for x
    x = 21,423,298,689/103,752
  6. Step 6: Final answer
    x = 206,485.65

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.