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Finding the Third Proportional to 364,338 and 509,485

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Solution

The third proportional to 364,338 and 509,485 is: 712,456.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,338 : 509,485 = 509,485 : x
  2. Step 2: Convert to fraction form
    364,338/509,485 = 509,485/x
  3. Step 3: Cross multiply
    364,338x = 509,485 × 509,485
  4. Step 4: Simplify right side
    364,338x = 259,574,965,225
  5. Step 5: Solve for x
    x = 259,574,965,225/364,338
  6. Step 6: Final answer
    x = 712,456.47

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.