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Finding the Third Proportional to 189,170.16 and 315,283.60

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Solution

The third proportional to 189,170.16 and 315,283.60 is: 525,472.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,170.16 : 315,283.60 = 315,283.60 : x
  2. Step 2: Convert to fraction form
    189,170.16/315,283.60 = 315,283.60/x
  3. Step 3: Cross multiply
    189,170.16x = 315,283.60 × 315,283.60
  4. Step 4: Simplify right side
    189,170.16x = 99,403,749,106.33
  5. Step 5: Solve for x
    x = 99,403,749,106.33/189,170.16
  6. Step 6: Final answer
    x = 525,472.67

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.