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Finding the Third Proportional to 143,653.50 and 312,180.75

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Solution

The third proportional to 143,653.50 and 312,180.75 is: 678,415.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,653.50 : 312,180.75 = 312,180.75 : x
  2. Step 2: Convert to fraction form
    143,653.50/312,180.75 = 312,180.75/x
  3. Step 3: Cross multiply
    143,653.50x = 312,180.75 × 312,180.75
  4. Step 4: Simplify right side
    143,653.50x = 97,456,820,670.56
  5. Step 5: Solve for x
    x = 97,456,820,670.56/143,653.50
  6. Step 6: Final answer
    x = 678,415.92

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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.