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Finding the Third Proportional to 317,529.75 and 684,914.25

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Solution

The third proportional to 317,529.75 and 684,914.25 is: 1,477,365.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,529.75 : 684,914.25 = 684,914.25 : x
  2. Step 2: Convert to fraction form
    317,529.75/684,914.25 = 684,914.25/x
  3. Step 3: Cross multiply
    317,529.75x = 684,914.25 × 684,914.25
  4. Step 4: Simplify right side
    317,529.75x = 469,107,529,853.06
  5. Step 5: Solve for x
    x = 469,107,529,853.06/317,529.75
  6. Step 6: Final answer
    x = 1,477,365.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.