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Finding the Third Proportional to 333,820 and 509,138

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Solution

The third proportional to 333,820 and 509,138 is: 776,530.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,820 : 509,138 = 509,138 : x
  2. Step 2: Convert to fraction form
    333,820/509,138 = 509,138/x
  3. Step 3: Cross multiply
    333,820x = 509,138 × 509,138
  4. Step 4: Simplify right side
    333,820x = 259,221,503,044
  5. Step 5: Solve for x
    x = 259,221,503,044/333,820
  6. Step 6: Final answer
    x = 776,530.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.