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Finding the Third Proportional to 155,545 and 333,121

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Solution

The third proportional to 155,545 and 333,121 is: 713,424.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,545 : 333,121 = 333,121 : x
  2. Step 2: Convert to fraction form
    155,545/333,121 = 333,121/x
  3. Step 3: Cross multiply
    155,545x = 333,121 × 333,121
  4. Step 4: Simplify right side
    155,545x = 110,969,600,641
  5. Step 5: Solve for x
    x = 110,969,600,641/155,545
  6. Step 6: Final answer
    x = 713,424.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.