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Finding the Third Proportional to 522,756 and 768,816

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Solution

The third proportional to 522,756 and 768,816 is: 1,130,695.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,756 : 768,816 = 768,816 : x
  2. Step 2: Convert to fraction form
    522,756/768,816 = 768,816/x
  3. Step 3: Cross multiply
    522,756x = 768,816 × 768,816
  4. Step 4: Simplify right side
    522,756x = 591,078,041,856
  5. Step 5: Solve for x
    x = 591,078,041,856/522,756
  6. Step 6: Final answer
    x = 1,130,695.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.