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Finding the Third Proportional to 512,704 and 764,808

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Solution

The third proportional to 512,704 and 764,808 is: 1,140,875.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,704 : 764,808 = 764,808 : x
  2. Step 2: Convert to fraction form
    512,704/764,808 = 764,808/x
  3. Step 3: Cross multiply
    512,704x = 764,808 × 764,808
  4. Step 4: Simplify right side
    512,704x = 584,931,276,864
  5. Step 5: Solve for x
    x = 584,931,276,864/512,704
  6. Step 6: Final answer
    x = 1,140,875.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.