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Finding the Third Proportional to 412,784 and 843,060

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Solution

The third proportional to 412,784 and 843,060 is: 1,721,845.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,784 : 843,060 = 843,060 : x
  2. Step 2: Convert to fraction form
    412,784/843,060 = 843,060/x
  3. Step 3: Cross multiply
    412,784x = 843,060 × 843,060
  4. Step 4: Simplify right side
    412,784x = 710,750,163,600
  5. Step 5: Solve for x
    x = 710,750,163,600/412,784
  6. Step 6: Final answer
    x = 1,721,845.24

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.