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Finding the Third Proportional to 155,463 and 329,607.75

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Solution

The third proportional to 155,463 and 329,607.75 is: 698,823.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,463 : 329,607.75 = 329,607.75 : x
  2. Step 2: Convert to fraction form
    155,463/329,607.75 = 329,607.75/x
  3. Step 3: Cross multiply
    155,463x = 329,607.75 × 329,607.75
  4. Step 4: Simplify right side
    155,463x = 108,641,268,860.06
  5. Step 5: Solve for x
    x = 108,641,268,860.06/155,463
  6. Step 6: Final answer
    x = 698,823.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.