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Finding the Third Proportional to 239,904 and 509,328

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Solution

The third proportional to 239,904 and 509,328 is: 1,081,328.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,904 : 509,328 = 509,328 : x
  2. Step 2: Convert to fraction form
    239,904/509,328 = 509,328/x
  3. Step 3: Cross multiply
    239,904x = 509,328 × 509,328
  4. Step 4: Simplify right side
    239,904x = 259,415,011,584
  5. Step 5: Solve for x
    x = 259,415,011,584/239,904
  6. Step 6: Final answer
    x = 1,081,328.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.