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Finding the Third Proportional to 390,057 and 618,908

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Solution

The third proportional to 390,057 and 618,908 is: 982,028.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,057 : 618,908 = 618,908 : x
  2. Step 2: Convert to fraction form
    390,057/618,908 = 618,908/x
  3. Step 3: Cross multiply
    390,057x = 618,908 × 618,908
  4. Step 4: Simplify right side
    390,057x = 383,047,112,464
  5. Step 5: Solve for x
    x = 383,047,112,464/390,057
  6. Step 6: Final answer
    x = 982,028.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.