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Finding the Third Proportional to 800,712 and 1,740,816

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Solution

The third proportional to 800,712 and 1,740,816 is: 3,784,682.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,712 : 1,740,816 = 1,740,816 : x
  2. Step 2: Convert to fraction form
    800,712/1,740,816 = 1,740,816/x
  3. Step 3: Cross multiply
    800,712x = 1,740,816 × 1,740,816
  4. Step 4: Simplify right side
    800,712x = 3,030,440,345,856
  5. Step 5: Solve for x
    x = 3,030,440,345,856/800,712
  6. Step 6: Final answer
    x = 3,784,682.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.