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Finding the Third Proportional to 317,115 and 685,206

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Solution

The third proportional to 317,115 and 685,206 is: 1,480,558.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,115 : 685,206 = 685,206 : x
  2. Step 2: Convert to fraction form
    317,115/685,206 = 685,206/x
  3. Step 3: Cross multiply
    317,115x = 685,206 × 685,206
  4. Step 4: Simplify right side
    317,115x = 469,507,262,436
  5. Step 5: Solve for x
    x = 469,507,262,436/317,115
  6. Step 6: Final answer
    x = 1,480,558.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.