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Finding the Third Proportional to 285,352 and 618,257

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Solution

The third proportional to 285,352 and 618,257 is: 1,339,544.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,352 : 618,257 = 618,257 : x
  2. Step 2: Convert to fraction form
    285,352/618,257 = 618,257/x
  3. Step 3: Cross multiply
    285,352x = 618,257 × 618,257
  4. Step 4: Simplify right side
    285,352x = 382,241,718,049
  5. Step 5: Solve for x
    x = 382,241,718,049/285,352
  6. Step 6: Final answer
    x = 1,339,544.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.