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Finding the Third Proportional to 317,488 and 678,636

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Solution

The third proportional to 317,488 and 678,636 is: 1,450,595.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,488 : 678,636 = 678,636 : x
  2. Step 2: Convert to fraction form
    317,488/678,636 = 678,636/x
  3. Step 3: Cross multiply
    317,488x = 678,636 × 678,636
  4. Step 4: Simplify right side
    317,488x = 460,546,820,496
  5. Step 5: Solve for x
    x = 460,546,820,496/317,488
  6. Step 6: Final answer
    x = 1,450,595.99

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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.