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Finding the Third Proportional to 401,562 and 745,668

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Solution

The third proportional to 401,562 and 745,668 is: 1,384,644.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,562 : 745,668 = 745,668 : x
  2. Step 2: Convert to fraction form
    401,562/745,668 = 745,668/x
  3. Step 3: Cross multiply
    401,562x = 745,668 × 745,668
  4. Step 4: Simplify right side
    401,562x = 556,020,766,224
  5. Step 5: Solve for x
    x = 556,020,766,224/401,562
  6. Step 6: Final answer
    x = 1,384,644.88

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.