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Finding the Third Proportional to 364,345 and 509,494

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Solution

The third proportional to 364,345 and 509,494 is: 712,467.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,345 : 509,494 = 509,494 : x
  2. Step 2: Convert to fraction form
    364,345/509,494 = 509,494/x
  3. Step 3: Cross multiply
    364,345x = 509,494 × 509,494
  4. Step 4: Simplify right side
    364,345x = 259,584,136,036
  5. Step 5: Solve for x
    x = 259,584,136,036/364,345
  6. Step 6: Final answer
    x = 712,467.95

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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.