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Finding the Third Proportional to 464,040 and 982,989

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Solution

The third proportional to 464,040 and 982,989 is: 2,082,293.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,040 : 982,989 = 982,989 : x
  2. Step 2: Convert to fraction form
    464,040/982,989 = 982,989/x
  3. Step 3: Cross multiply
    464,040x = 982,989 × 982,989
  4. Step 4: Simplify right side
    464,040x = 966,267,374,121
  5. Step 5: Solve for x
    x = 966,267,374,121/464,040
  6. Step 6: Final answer
    x = 2,082,293.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.