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Finding the Third Proportional to 30,324 and 65,828

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Solution

The third proportional to 30,324 and 65,828 is: 142,900.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,324 : 65,828 = 65,828 : x
  2. Step 2: Convert to fraction form
    30,324/65,828 = 65,828/x
  3. Step 3: Cross multiply
    30,324x = 65,828 × 65,828
  4. Step 4: Simplify right side
    30,324x = 4,333,325,584
  5. Step 5: Solve for x
    x = 4,333,325,584/30,324
  6. Step 6: Final answer
    x = 142,900.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.