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Finding the Third Proportional to 372,742 and 804,989

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Solution

The third proportional to 372,742 and 804,989 is: 1,738,487.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,742 : 804,989 = 804,989 : x
  2. Step 2: Convert to fraction form
    372,742/804,989 = 804,989/x
  3. Step 3: Cross multiply
    372,742x = 804,989 × 804,989
  4. Step 4: Simplify right side
    372,742x = 648,007,290,121
  5. Step 5: Solve for x
    x = 648,007,290,121/372,742
  6. Step 6: Final answer
    x = 1,738,487.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.