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Finding the Third Proportional to 155,454 and 333,610.50

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Solution

The third proportional to 155,454 and 333,610.50 is: 715,941.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,454 : 333,610.50 = 333,610.50 : x
  2. Step 2: Convert to fraction form
    155,454/333,610.50 = 333,610.50/x
  3. Step 3: Cross multiply
    155,454x = 333,610.50 × 333,610.50
  4. Step 4: Simplify right side
    155,454x = 111,295,965,710.25
  5. Step 5: Solve for x
    x = 111,295,965,710.25/155,454
  6. Step 6: Final answer
    x = 715,941.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.