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Finding the Third Proportional to 636,178 and 1,386,668

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Solution

The third proportional to 636,178 and 1,386,668 is: 3,022,500.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,178 : 1,386,668 = 1,386,668 : x
  2. Step 2: Convert to fraction form
    636,178/1,386,668 = 1,386,668/x
  3. Step 3: Cross multiply
    636,178x = 1,386,668 × 1,386,668
  4. Step 4: Simplify right side
    636,178x = 1,922,848,142,224
  5. Step 5: Solve for x
    x = 1,922,848,142,224/636,178
  6. Step 6: Final answer
    x = 3,022,500.22

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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.