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Finding the Third Proportional to 315,330 and 685,092

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Solution

The third proportional to 315,330 and 685,092 is: 1,488,444.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,330 : 685,092 = 685,092 : x
  2. Step 2: Convert to fraction form
    315,330/685,092 = 685,092/x
  3. Step 3: Cross multiply
    315,330x = 685,092 × 685,092
  4. Step 4: Simplify right side
    315,330x = 469,351,048,464
  5. Step 5: Solve for x
    x = 469,351,048,464/315,330
  6. Step 6: Final answer
    x = 1,488,444.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.