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Finding the Third Proportional to 285,716 and 603,240

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Solution

The third proportional to 285,716 and 603,240 is: 1,273,637.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,716 : 603,240 = 603,240 : x
  2. Step 2: Convert to fraction form
    285,716/603,240 = 603,240/x
  3. Step 3: Cross multiply
    285,716x = 603,240 × 603,240
  4. Step 4: Simplify right side
    285,716x = 363,898,497,600
  5. Step 5: Solve for x
    x = 363,898,497,600/285,716
  6. Step 6: Final answer
    x = 1,273,637.10

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.