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Finding the Third Proportional to 74,286 and 111,783

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Solution

The third proportional to 74,286 and 111,783 is: 168,207.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,286 : 111,783 = 111,783 : x
  2. Step 2: Convert to fraction form
    74,286/111,783 = 111,783/x
  3. Step 3: Cross multiply
    74,286x = 111,783 × 111,783
  4. Step 4: Simplify right side
    74,286x = 12,495,439,089
  5. Step 5: Solve for x
    x = 12,495,439,089/74,286
  6. Step 6: Final answer
    x = 168,207.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.