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Finding the Third Proportional to 817,400 and 1,214,436

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Solution

The third proportional to 817,400 and 1,214,436 is: 1,804,324.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,400 : 1,214,436 = 1,214,436 : x
  2. Step 2: Convert to fraction form
    817,400/1,214,436 = 1,214,436/x
  3. Step 3: Cross multiply
    817,400x = 1,214,436 × 1,214,436
  4. Step 4: Simplify right side
    817,400x = 1,474,854,798,096
  5. Step 5: Solve for x
    x = 1,474,854,798,096/817,400
  6. Step 6: Final answer
    x = 1,804,324.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.