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Finding the Third Proportional to 434,409.75 and 645,232.50

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Solution

The third proportional to 434,409.75 and 645,232.50 is: 958,369.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,409.75 : 645,232.50 = 645,232.50 : x
  2. Step 2: Convert to fraction form
    434,409.75/645,232.50 = 645,232.50/x
  3. Step 3: Cross multiply
    434,409.75x = 645,232.50 × 645,232.50
  4. Step 4: Simplify right side
    434,409.75x = 416,324,979,056.25
  5. Step 5: Solve for x
    x = 416,324,979,056.25/434,409.75
  6. Step 6: Final answer
    x = 958,369.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.