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Finding the Third Proportional to 390,042 and 618,894

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Solution

The third proportional to 390,042 and 618,894 is: 982,021.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,042 : 618,894 = 618,894 : x
  2. Step 2: Convert to fraction form
    390,042/618,894 = 618,894/x
  3. Step 3: Cross multiply
    390,042x = 618,894 × 618,894
  4. Step 4: Simplify right side
    390,042x = 383,029,783,236
  5. Step 5: Solve for x
    x = 383,029,783,236/390,042
  6. Step 6: Final answer
    x = 982,021.89

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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.