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Finding the Third Proportional to 83,303 and 121,828

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Solution

The third proportional to 83,303 and 121,828 is: 178,169.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,303 : 121,828 = 121,828 : x
  2. Step 2: Convert to fraction form
    83,303/121,828 = 121,828/x
  3. Step 3: Cross multiply
    83,303x = 121,828 × 121,828
  4. Step 4: Simplify right side
    83,303x = 14,842,061,584
  5. Step 5: Solve for x
    x = 14,842,061,584/83,303
  6. Step 6: Final answer
    x = 178,169.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.