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Finding the Third Proportional to 334,654 and 509,821

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Solution

The third proportional to 334,654 and 509,821 is: 776,675.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,654 : 509,821 = 509,821 : x
  2. Step 2: Convert to fraction form
    334,654/509,821 = 509,821/x
  3. Step 3: Cross multiply
    334,654x = 509,821 × 509,821
  4. Step 4: Simplify right side
    334,654x = 259,917,452,041
  5. Step 5: Solve for x
    x = 259,917,452,041/334,654
  6. Step 6: Final answer
    x = 776,675.17

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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.