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Finding the Third Proportional to 285,612 and 616,314

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Solution

The third proportional to 285,612 and 616,314 is: 1,329,926.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,612 : 616,314 = 616,314 : x
  2. Step 2: Convert to fraction form
    285,612/616,314 = 616,314/x
  3. Step 3: Cross multiply
    285,612x = 616,314 × 616,314
  4. Step 4: Simplify right side
    285,612x = 379,842,946,596
  5. Step 5: Solve for x
    x = 379,842,946,596/285,612
  6. Step 6: Final answer
    x = 1,329,926.43

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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.