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Finding the Third Proportional to 285,929.60 and 618,932.39

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Solution

The third proportional to 285,929.60 and 618,932.39 is: 1,339,760.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,929.60 : 618,932.39 = 618,932.39 : x
  2. Step 2: Convert to fraction form
    285,929.60/618,932.39 = 618,932.39/x
  3. Step 3: Cross multiply
    285,929.60x = 618,932.39 × 618,932.39
  4. Step 4: Simplify right side
    285,929.60x = 383,077,304,164.78
  5. Step 5: Solve for x
    x = 383,077,304,164.78/285,929.60
  6. Step 6: Final answer
    x = 1,339,760.90

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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.