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Finding the Third Proportional to 98,828 and 217,432

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Solution

The third proportional to 98,828 and 217,432 is: 478,373.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,828 : 217,432 = 217,432 : x
  2. Step 2: Convert to fraction form
    98,828/217,432 = 217,432/x
  3. Step 3: Cross multiply
    98,828x = 217,432 × 217,432
  4. Step 4: Simplify right side
    98,828x = 47,276,674,624
  5. Step 5: Solve for x
    x = 47,276,674,624/98,828
  6. Step 6: Final answer
    x = 478,373.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.