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Finding the Third Proportional to 121,803.75 and 284,674.50

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Solution

The third proportional to 121,803.75 and 284,674.50 is: 665,329.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,803.75 : 284,674.50 = 284,674.50 : x
  2. Step 2: Convert to fraction form
    121,803.75/284,674.50 = 284,674.50/x
  3. Step 3: Cross multiply
    121,803.75x = 284,674.50 × 284,674.50
  4. Step 4: Simplify right side
    121,803.75x = 81,039,570,950.25
  5. Step 5: Solve for x
    x = 81,039,570,950.25/121,803.75
  6. Step 6: Final answer
    x = 665,329.03

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.