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Finding the Third Proportional to 318,724 and 446,686

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Solution

The third proportional to 318,724 and 446,686 is: 626,022.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,724 : 446,686 = 446,686 : x
  2. Step 2: Convert to fraction form
    318,724/446,686 = 446,686/x
  3. Step 3: Cross multiply
    318,724x = 446,686 × 446,686
  4. Step 4: Simplify right side
    318,724x = 199,528,382,596
  5. Step 5: Solve for x
    x = 199,528,382,596/318,724
  6. Step 6: Final answer
    x = 626,022.46

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.