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Finding the Third Proportional to 752,448 and 1,020,768

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Solution

The third proportional to 752,448 and 1,020,768 is: 1,384,769.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,448 : 1,020,768 = 1,020,768 : x
  2. Step 2: Convert to fraction form
    752,448/1,020,768 = 1,020,768/x
  3. Step 3: Cross multiply
    752,448x = 1,020,768 × 1,020,768
  4. Step 4: Simplify right side
    752,448x = 1,041,967,309,824
  5. Step 5: Solve for x
    x = 1,041,967,309,824/752,448
  6. Step 6: Final answer
    x = 1,384,769.86

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.