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Finding the Third Proportional to 800,257 and 1,200,415

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Solution

The third proportional to 800,257 and 1,200,415 is: 1,800,666.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,257 : 1,200,415 = 1,200,415 : x
  2. Step 2: Convert to fraction form
    800,257/1,200,415 = 1,200,415/x
  3. Step 3: Cross multiply
    800,257x = 1,200,415 × 1,200,415
  4. Step 4: Simplify right side
    800,257x = 1,440,996,172,225
  5. Step 5: Solve for x
    x = 1,440,996,172,225/800,257
  6. Step 6: Final answer
    x = 1,800,666.75

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