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Finding the Third Proportional to 245,640 and 509,744

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Solution

The third proportional to 245,640 and 509,744 is: 1,057,803.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,640 : 509,744 = 509,744 : x
  2. Step 2: Convert to fraction form
    245,640/509,744 = 509,744/x
  3. Step 3: Cross multiply
    245,640x = 509,744 × 509,744
  4. Step 4: Simplify right side
    245,640x = 259,838,945,536
  5. Step 5: Solve for x
    x = 259,838,945,536/245,640
  6. Step 6: Final answer
    x = 1,057,803.88

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.