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Finding the Third Proportional to 317,530 and 678,730

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Solution

The third proportional to 317,530 and 678,730 is: 1,450,805.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,530 : 678,730 = 678,730 : x
  2. Step 2: Convert to fraction form
    317,530/678,730 = 678,730/x
  3. Step 3: Cross multiply
    317,530x = 678,730 × 678,730
  4. Step 4: Simplify right side
    317,530x = 460,674,412,900
  5. Step 5: Solve for x
    x = 460,674,412,900/317,530
  6. Step 6: Final answer
    x = 1,450,805.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.