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Finding the Third Proportional to 520,854 and 1,115,436

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Solution

The third proportional to 520,854 and 1,115,436 is: 2,388,764.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,854 : 1,115,436 = 1,115,436 : x
  2. Step 2: Convert to fraction form
    520,854/1,115,436 = 1,115,436/x
  3. Step 3: Cross multiply
    520,854x = 1,115,436 × 1,115,436
  4. Step 4: Simplify right side
    520,854x = 1,244,197,470,096
  5. Step 5: Solve for x
    x = 1,244,197,470,096/520,854
  6. Step 6: Final answer
    x = 2,388,764.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.