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Finding the Third Proportional to 565,138 and 847,720

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Solution

The third proportional to 565,138 and 847,720 is: 1,271,599.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,138 : 847,720 = 847,720 : x
  2. Step 2: Convert to fraction form
    565,138/847,720 = 847,720/x
  3. Step 3: Cross multiply
    565,138x = 847,720 × 847,720
  4. Step 4: Simplify right side
    565,138x = 718,629,198,400
  5. Step 5: Solve for x
    x = 718,629,198,400/565,138
  6. Step 6: Final answer
    x = 1,271,599.50

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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.