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Finding the Third Proportional to 285,979.50 and 616,282.88

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Solution

The third proportional to 285,979.50 and 616,282.88 is: 1,328,083.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,979.50 : 616,282.88 = 616,282.88 : x
  2. Step 2: Convert to fraction form
    285,979.50/616,282.88 = 616,282.88/x
  3. Step 3: Cross multiply
    285,979.50x = 616,282.88 × 616,282.88
  4. Step 4: Simplify right side
    285,979.50x = 379,804,582,018.27
  5. Step 5: Solve for x
    x = 379,804,582,018.27/285,979.50
  6. Step 6: Final answer
    x = 1,328,083.24

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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.