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Finding the Third Proportional to 329,325.75 and 684,490.50

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Solution

The third proportional to 329,325.75 and 684,490.50 is: 1,422,686.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,325.75 : 684,490.50 = 684,490.50 : x
  2. Step 2: Convert to fraction form
    329,325.75/684,490.50 = 684,490.50/x
  3. Step 3: Cross multiply
    329,325.75x = 684,490.50 × 684,490.50
  4. Step 4: Simplify right side
    329,325.75x = 468,527,244,590.25
  5. Step 5: Solve for x
    x = 468,527,244,590.25/329,325.75
  6. Step 6: Final answer
    x = 1,422,686.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.