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Finding the Third Proportional to 89,319 and 195,378

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Solution

The third proportional to 89,319 and 195,378 is: 427,373.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,319 : 195,378 = 195,378 : x
  2. Step 2: Convert to fraction form
    89,319/195,378 = 195,378/x
  3. Step 3: Cross multiply
    89,319x = 195,378 × 195,378
  4. Step 4: Simplify right side
    89,319x = 38,172,562,884
  5. Step 5: Solve for x
    x = 38,172,562,884/89,319
  6. Step 6: Final answer
    x = 427,373.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.