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Finding the Third Proportional to 333,345 and 508,218

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Solution

The third proportional to 333,345 and 508,218 is: 774,829.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,345 : 508,218 = 508,218 : x
  2. Step 2: Convert to fraction form
    333,345/508,218 = 508,218/x
  3. Step 3: Cross multiply
    333,345x = 508,218 × 508,218
  4. Step 4: Simplify right side
    333,345x = 258,285,535,524
  5. Step 5: Solve for x
    x = 258,285,535,524/333,345
  6. Step 6: Final answer
    x = 774,829.49

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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.