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Finding the Third Proportional to 334,690 and 509,886

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Solution

The third proportional to 334,690 and 509,886 is: 776,789.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,690 : 509,886 = 509,886 : x
  2. Step 2: Convert to fraction form
    334,690/509,886 = 509,886/x
  3. Step 3: Cross multiply
    334,690x = 509,886 × 509,886
  4. Step 4: Simplify right side
    334,690x = 259,983,732,996
  5. Step 5: Solve for x
    x = 259,983,732,996/334,690
  6. Step 6: Final answer
    x = 776,789.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.