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Finding the Third Proportional to 235,674 and 509,020

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Solution

The third proportional to 235,674 and 509,020 is: 1,099,405.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,674 : 509,020 = 509,020 : x
  2. Step 2: Convert to fraction form
    235,674/509,020 = 509,020/x
  3. Step 3: Cross multiply
    235,674x = 509,020 × 509,020
  4. Step 4: Simplify right side
    235,674x = 259,101,360,400
  5. Step 5: Solve for x
    x = 259,101,360,400/235,674
  6. Step 6: Final answer
    x = 1,099,405.79

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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.