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Finding the Third Proportional to 509,706 and 1,190,427

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Solution

The third proportional to 509,706 and 1,190,427 is: 2,780,262.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,706 : 1,190,427 = 1,190,427 : x
  2. Step 2: Convert to fraction form
    509,706/1,190,427 = 1,190,427/x
  3. Step 3: Cross multiply
    509,706x = 1,190,427 × 1,190,427
  4. Step 4: Simplify right side
    509,706x = 1,417,116,442,329
  5. Step 5: Solve for x
    x = 1,417,116,442,329/509,706
  6. Step 6: Final answer
    x = 2,780,262.43

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.