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Finding the Third Proportional to 370,911 and 665,238.75

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Solution

The third proportional to 370,911 and 665,238.75 is: 1,193,123.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,911 : 665,238.75 = 665,238.75 : x
  2. Step 2: Convert to fraction form
    370,911/665,238.75 = 665,238.75/x
  3. Step 3: Cross multiply
    370,911x = 665,238.75 × 665,238.75
  4. Step 4: Simplify right side
    370,911x = 442,542,594,501.56
  5. Step 5: Solve for x
    x = 442,542,594,501.56/370,911
  6. Step 6: Final answer
    x = 1,193,123.40

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.