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Finding the Third Proportional to 485,148 and 694,710

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Solution

The third proportional to 485,148 and 694,710 is: 994,793.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,148 : 694,710 = 694,710 : x
  2. Step 2: Convert to fraction form
    485,148/694,710 = 694,710/x
  3. Step 3: Cross multiply
    485,148x = 694,710 × 694,710
  4. Step 4: Simplify right side
    485,148x = 482,621,984,100
  5. Step 5: Solve for x
    x = 482,621,984,100/485,148
  6. Step 6: Final answer
    x = 994,793.31

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.