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Finding the Third Proportional to 72,583 and 108,905

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Solution

The third proportional to 72,583 and 108,905 is: 163,403.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,583 : 108,905 = 108,905 : x
  2. Step 2: Convert to fraction form
    72,583/108,905 = 108,905/x
  3. Step 3: Cross multiply
    72,583x = 108,905 × 108,905
  4. Step 4: Simplify right side
    72,583x = 11,860,299,025
  5. Step 5: Solve for x
    x = 11,860,299,025/72,583
  6. Step 6: Final answer
    x = 163,403.26

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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.