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Finding the Third Proportional to 780,400 and 1,702,616

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Solution

The third proportional to 780,400 and 1,702,616 is: 3,714,635.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,400 : 1,702,616 = 1,702,616 : x
  2. Step 2: Convert to fraction form
    780,400/1,702,616 = 1,702,616/x
  3. Step 3: Cross multiply
    780,400x = 1,702,616 × 1,702,616
  4. Step 4: Simplify right side
    780,400x = 2,898,901,243,456
  5. Step 5: Solve for x
    x = 2,898,901,243,456/780,400
  6. Step 6: Final answer
    x = 3,714,635.11

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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.