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Finding the Third Proportional to 317,668 and 692,288

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Solution

The third proportional to 317,668 and 692,288 is: 1,508,690.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,668 : 692,288 = 692,288 : x
  2. Step 2: Convert to fraction form
    317,668/692,288 = 692,288/x
  3. Step 3: Cross multiply
    317,668x = 692,288 × 692,288
  4. Step 4: Simplify right side
    317,668x = 479,262,674,944
  5. Step 5: Solve for x
    x = 479,262,674,944/317,668
  6. Step 6: Final answer
    x = 1,508,690.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.