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Finding the Third Proportional to 200,353.50 and 312,018.75

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Solution

The third proportional to 200,353.50 and 312,018.75 is: 485,919.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,353.50 : 312,018.75 = 312,018.75 : x
  2. Step 2: Convert to fraction form
    200,353.50/312,018.75 = 312,018.75/x
  3. Step 3: Cross multiply
    200,353.50x = 312,018.75 × 312,018.75
  4. Step 4: Simplify right side
    200,353.50x = 97,355,700,351.56
  5. Step 5: Solve for x
    x = 97,355,700,351.56/200,353.50
  6. Step 6: Final answer
    x = 485,919.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.