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Finding the Third Proportional to 78,368 and 174,176

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Solution

The third proportional to 78,368 and 174,176 is: 387,113.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,368 : 174,176 = 174,176 : x
  2. Step 2: Convert to fraction form
    78,368/174,176 = 174,176/x
  3. Step 3: Cross multiply
    78,368x = 174,176 × 174,176
  4. Step 4: Simplify right side
    78,368x = 30,337,278,976
  5. Step 5: Solve for x
    x = 30,337,278,976/78,368
  6. Step 6: Final answer
    x = 387,113.09

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.