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Finding the Third Proportional to 73,594 and 116,583

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Solution

The third proportional to 73,594 and 116,583 is: 184,683.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,594 : 116,583 = 116,583 : x
  2. Step 2: Convert to fraction form
    73,594/116,583 = 116,583/x
  3. Step 3: Cross multiply
    73,594x = 116,583 × 116,583
  4. Step 4: Simplify right side
    73,594x = 13,591,595,889
  5. Step 5: Solve for x
    x = 13,591,595,889/73,594
  6. Step 6: Final answer
    x = 184,683.48

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.