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Finding the Third Proportional to 390,059 and 618,911

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Solution

The third proportional to 390,059 and 618,911 is: 982,033.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,059 : 618,911 = 618,911 : x
  2. Step 2: Convert to fraction form
    390,059/618,911 = 618,911/x
  3. Step 3: Cross multiply
    390,059x = 618,911 × 618,911
  4. Step 4: Simplify right side
    390,059x = 383,050,825,921
  5. Step 5: Solve for x
    x = 383,050,825,921/390,059
  6. Step 6: Final answer
    x = 982,033.04

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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.