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Finding the Third Proportional to 307,056.75 and 660,769.50

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Solution

The third proportional to 307,056.75 and 660,769.50 is: 1,421,940.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,056.75 : 660,769.50 = 660,769.50 : x
  2. Step 2: Convert to fraction form
    307,056.75/660,769.50 = 660,769.50/x
  3. Step 3: Cross multiply
    307,056.75x = 660,769.50 × 660,769.50
  4. Step 4: Simplify right side
    307,056.75x = 436,616,332,130.25
  5. Step 5: Solve for x
    x = 436,616,332,130.25/307,056.75
  6. Step 6: Final answer
    x = 1,421,940.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.