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Finding the Third Proportional to 102,078 and 153,219

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Solution

The third proportional to 102,078 and 153,219 is: 229,981.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,078 : 153,219 = 153,219 : x
  2. Step 2: Convert to fraction form
    102,078/153,219 = 153,219/x
  3. Step 3: Cross multiply
    102,078x = 153,219 × 153,219
  4. Step 4: Simplify right side
    102,078x = 23,476,061,961
  5. Step 5: Solve for x
    x = 23,476,061,961/102,078
  6. Step 6: Final answer
    x = 229,981.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.