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Finding the Third Proportional to 358,284 and 782,064

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Solution

The third proportional to 358,284 and 782,064 is: 1,707,092.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,284 : 782,064 = 782,064 : x
  2. Step 2: Convert to fraction form
    358,284/782,064 = 782,064/x
  3. Step 3: Cross multiply
    358,284x = 782,064 × 782,064
  4. Step 4: Simplify right side
    358,284x = 611,624,100,096
  5. Step 5: Solve for x
    x = 611,624,100,096/358,284
  6. Step 6: Final answer
    x = 1,707,092.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.