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Finding the Third Proportional to 334,687 and 509,881

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Solution

The third proportional to 334,687 and 509,881 is: 776,781.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,687 : 509,881 = 509,881 : x
  2. Step 2: Convert to fraction form
    334,687/509,881 = 509,881/x
  3. Step 3: Cross multiply
    334,687x = 509,881 × 509,881
  4. Step 4: Simplify right side
    334,687x = 259,978,634,161
  5. Step 5: Solve for x
    x = 259,978,634,161/334,687
  6. Step 6: Final answer
    x = 776,781.39

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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.