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Finding the Third Proportional to 285,982 and 616,287

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Solution

The third proportional to 285,982 and 616,287 is: 1,328,089.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,982 : 616,287 = 616,287 : x
  2. Step 2: Convert to fraction form
    285,982/616,287 = 616,287/x
  3. Step 3: Cross multiply
    285,982x = 616,287 × 616,287
  4. Step 4: Simplify right side
    285,982x = 379,809,666,369
  5. Step 5: Solve for x
    x = 379,809,666,369/285,982
  6. Step 6: Final answer
    x = 1,328,089.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.