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Finding the Third Proportional to 370,072 and 553,615

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Solution

The third proportional to 370,072 and 553,615 is: 828,189.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,072 : 553,615 = 553,615 : x
  2. Step 2: Convert to fraction form
    370,072/553,615 = 553,615/x
  3. Step 3: Cross multiply
    370,072x = 553,615 × 553,615
  4. Step 4: Simplify right side
    370,072x = 306,489,568,225
  5. Step 5: Solve for x
    x = 306,489,568,225/370,072
  6. Step 6: Final answer
    x = 828,189.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.