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Finding the Third Proportional to 235,731 and 509,118

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Solution

The third proportional to 235,731 and 509,118 is: 1,099,563.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,731 : 509,118 = 509,118 : x
  2. Step 2: Convert to fraction form
    235,731/509,118 = 509,118/x
  3. Step 3: Cross multiply
    235,731x = 509,118 × 509,118
  4. Step 4: Simplify right side
    235,731x = 259,201,137,924
  5. Step 5: Solve for x
    x = 259,201,137,924/235,731
  6. Step 6: Final answer
    x = 1,099,563.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.