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Finding the Third Proportional to 334,619 and 509,770

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Solution

The third proportional to 334,619 and 509,770 is: 776,601.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,619 : 509,770 = 509,770 : x
  2. Step 2: Convert to fraction form
    334,619/509,770 = 509,770/x
  3. Step 3: Cross multiply
    334,619x = 509,770 × 509,770
  4. Step 4: Simplify right side
    334,619x = 259,865,452,900
  5. Step 5: Solve for x
    x = 259,865,452,900/334,619
  6. Step 6: Final answer
    x = 776,601.01

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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.