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Finding the Third Proportional to 415,686 and 608,722

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Solution

The third proportional to 415,686 and 608,722 is: 891,399.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,686 : 608,722 = 608,722 : x
  2. Step 2: Convert to fraction form
    415,686/608,722 = 608,722/x
  3. Step 3: Cross multiply
    415,686x = 608,722 × 608,722
  4. Step 4: Simplify right side
    415,686x = 370,542,473,284
  5. Step 5: Solve for x
    x = 370,542,473,284/415,686
  6. Step 6: Final answer
    x = 891,399.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.