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Finding the Third Proportional to 512,574 and 764,617.50

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Solution

The third proportional to 512,574 and 764,617.50 is: 1,140,596.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,574 : 764,617.50 = 764,617.50 : x
  2. Step 2: Convert to fraction form
    512,574/764,617.50 = 764,617.50/x
  3. Step 3: Cross multiply
    512,574x = 764,617.50 × 764,617.50
  4. Step 4: Simplify right side
    512,574x = 584,639,921,306.25
  5. Step 5: Solve for x
    x = 584,639,921,306.25/512,574
  6. Step 6: Final answer
    x = 1,140,596.13

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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.