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Finding the Third Proportional to 285,614 and 616,318

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Solution

The third proportional to 285,614 and 616,318 is: 1,329,934.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,614 : 616,318 = 616,318 : x
  2. Step 2: Convert to fraction form
    285,614/616,318 = 616,318/x
  3. Step 3: Cross multiply
    285,614x = 616,318 × 616,318
  4. Step 4: Simplify right side
    285,614x = 379,847,877,124
  5. Step 5: Solve for x
    x = 379,847,877,124/285,614
  6. Step 6: Final answer
    x = 1,329,934.38

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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.