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Finding the Third Proportional to 143,599.50 and 312,378.75

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Solution

The third proportional to 143,599.50 and 312,378.75 is: 679,532.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,599.50 : 312,378.75 = 312,378.75 : x
  2. Step 2: Convert to fraction form
    143,599.50/312,378.75 = 312,378.75/x
  3. Step 3: Cross multiply
    143,599.50x = 312,378.75 × 312,378.75
  4. Step 4: Simplify right side
    143,599.50x = 97,580,483,451.56
  5. Step 5: Solve for x
    x = 97,580,483,451.56/143,599.50
  6. Step 6: Final answer
    x = 679,532.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.