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Finding the Third Proportional to 285,816 and 613,104

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Solution

The third proportional to 285,816 and 613,104 is: 1,315,169.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,816 : 613,104 = 613,104 : x
  2. Step 2: Convert to fraction form
    285,816/613,104 = 613,104/x
  3. Step 3: Cross multiply
    285,816x = 613,104 × 613,104
  4. Step 4: Simplify right side
    285,816x = 375,896,514,816
  5. Step 5: Solve for x
    x = 375,896,514,816/285,816
  6. Step 6: Final answer
    x = 1,315,169.60

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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.