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Finding the Third Proportional to 355,728.75 and 770,977.13

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Solution

The third proportional to 355,728.75 and 770,977.13 is: 1,670,952.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,728.75 : 770,977.13 = 770,977.13 : x
  2. Step 2: Convert to fraction form
    355,728.75/770,977.13 = 770,977.13/x
  3. Step 3: Cross multiply
    355,728.75x = 770,977.13 × 770,977.13
  4. Step 4: Simplify right side
    355,728.75x = 594,405,727,273.27
  5. Step 5: Solve for x
    x = 594,405,727,273.27/355,728.75
  6. Step 6: Final answer
    x = 1,670,952.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.