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Finding the Third Proportional to 543,948 and 764,640

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Solution

The third proportional to 543,948 and 764,640 is: 1,074,871.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,948 : 764,640 = 764,640 : x
  2. Step 2: Convert to fraction form
    543,948/764,640 = 764,640/x
  3. Step 3: Cross multiply
    543,948x = 764,640 × 764,640
  4. Step 4: Simplify right side
    543,948x = 584,674,329,600
  5. Step 5: Solve for x
    x = 584,674,329,600/543,948
  6. Step 6: Final answer
    x = 1,074,871.73

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.