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Finding the Third Proportional to 509,816 and 1,120,288

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Solution

The third proportional to 509,816 and 1,120,288 is: 2,461,761.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,816 : 1,120,288 = 1,120,288 : x
  2. Step 2: Convert to fraction form
    509,816/1,120,288 = 1,120,288/x
  3. Step 3: Cross multiply
    509,816x = 1,120,288 × 1,120,288
  4. Step 4: Simplify right side
    509,816x = 1,255,045,202,944
  5. Step 5: Solve for x
    x = 1,255,045,202,944/509,816
  6. Step 6: Final answer
    x = 2,461,761.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.