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Finding the Third Proportional to 78,388 and 119,415

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Solution

The third proportional to 78,388 and 119,415 is: 181,914.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,388 : 119,415 = 119,415 : x
  2. Step 2: Convert to fraction form
    78,388/119,415 = 119,415/x
  3. Step 3: Cross multiply
    78,388x = 119,415 × 119,415
  4. Step 4: Simplify right side
    78,388x = 14,259,942,225
  5. Step 5: Solve for x
    x = 14,259,942,225/78,388
  6. Step 6: Final answer
    x = 181,914.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.