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Finding the Third Proportional to 734,742 and 1,134,851

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Solution

The third proportional to 734,742 and 1,134,851 is: 1,752,842.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,742 : 1,134,851 = 1,134,851 : x
  2. Step 2: Convert to fraction form
    734,742/1,134,851 = 1,134,851/x
  3. Step 3: Cross multiply
    734,742x = 1,134,851 × 1,134,851
  4. Step 4: Simplify right side
    734,742x = 1,287,886,792,201
  5. Step 5: Solve for x
    x = 1,287,886,792,201/734,742
  6. Step 6: Final answer
    x = 1,752,842.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.