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Finding the Third Proportional to 98,378 and 217,430

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Solution

The third proportional to 98,378 and 217,430 is: 480,552.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,378 : 217,430 = 217,430 : x
  2. Step 2: Convert to fraction form
    98,378/217,430 = 217,430/x
  3. Step 3: Cross multiply
    98,378x = 217,430 × 217,430
  4. Step 4: Simplify right side
    98,378x = 47,275,804,900
  5. Step 5: Solve for x
    x = 47,275,804,900/98,378
  6. Step 6: Final answer
    x = 480,552.61

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.