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Finding the Third Proportional to 315,072 and 479,088

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Solution

The third proportional to 315,072 and 479,088 is: 728,485.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,072 : 479,088 = 479,088 : x
  2. Step 2: Convert to fraction form
    315,072/479,088 = 479,088/x
  3. Step 3: Cross multiply
    315,072x = 479,088 × 479,088
  4. Step 4: Simplify right side
    315,072x = 229,525,311,744
  5. Step 5: Solve for x
    x = 229,525,311,744/315,072
  6. Step 6: Final answer
    x = 728,485.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.