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Finding the Third Proportional to 317,581 and 685,033

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Solution

The third proportional to 317,581 and 685,033 is: 1,477,639.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,581 : 685,033 = 685,033 : x
  2. Step 2: Convert to fraction form
    317,581/685,033 = 685,033/x
  3. Step 3: Cross multiply
    317,581x = 685,033 × 685,033
  4. Step 4: Simplify right side
    317,581x = 469,270,211,089
  5. Step 5: Solve for x
    x = 469,270,211,089/317,581
  6. Step 6: Final answer
    x = 1,477,639.44

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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.