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Finding the Third Proportional to 355,474.50 and 545,088

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Solution

The third proportional to 355,474.50 and 545,088 is: 835,843.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,474.50 : 545,088 = 545,088 : x
  2. Step 2: Convert to fraction form
    355,474.50/545,088 = 545,088/x
  3. Step 3: Cross multiply
    355,474.50x = 545,088 × 545,088
  4. Step 4: Simplify right side
    355,474.50x = 297,120,927,744
  5. Step 5: Solve for x
    x = 297,120,927,744/355,474.50
  6. Step 6: Final answer
    x = 835,843.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.