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Finding the Third Proportional to 67,591 and 139,465

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Solution

The third proportional to 67,591 and 139,465 is: 287,767.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,591 : 139,465 = 139,465 : x
  2. Step 2: Convert to fraction form
    67,591/139,465 = 139,465/x
  3. Step 3: Cross multiply
    67,591x = 139,465 × 139,465
  4. Step 4: Simplify right side
    67,591x = 19,450,486,225
  5. Step 5: Solve for x
    x = 19,450,486,225/67,591
  6. Step 6: Final answer
    x = 287,767.40

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.