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Finding the Third Proportional to 238,112 and 509,439

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Solution

The third proportional to 238,112 and 509,439 is: 1,089,941.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,112 : 509,439 = 509,439 : x
  2. Step 2: Convert to fraction form
    238,112/509,439 = 509,439/x
  3. Step 3: Cross multiply
    238,112x = 509,439 × 509,439
  4. Step 4: Simplify right side
    238,112x = 259,528,094,721
  5. Step 5: Solve for x
    x = 259,528,094,721/238,112
  6. Step 6: Final answer
    x = 1,089,941.27

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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.