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Finding the Third Proportional to 308,815.88 and 461,405.95

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Solution

The third proportional to 308,815.88 and 461,405.95 is: 689,392.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,815.88 : 461,405.95 = 461,405.95 : x
  2. Step 2: Convert to fraction form
    308,815.88/461,405.95 = 461,405.95/x
  3. Step 3: Cross multiply
    308,815.88x = 461,405.95 × 461,405.95
  4. Step 4: Simplify right side
    308,815.88x = 212,895,453,579.19
  5. Step 5: Solve for x
    x = 212,895,453,579.19/308,815.88
  6. Step 6: Final answer
    x = 689,392.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.