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Finding the Third Proportional to 98,640 and 218,352

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Solution

The third proportional to 98,640 and 218,352 is: 483,349.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,640 : 218,352 = 218,352 : x
  2. Step 2: Convert to fraction form
    98,640/218,352 = 218,352/x
  3. Step 3: Cross multiply
    98,640x = 218,352 × 218,352
  4. Step 4: Simplify right side
    98,640x = 47,677,595,904
  5. Step 5: Solve for x
    x = 47,677,595,904/98,640
  6. Step 6: Final answer
    x = 483,349.51

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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.