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Finding the Third Proportional to 152,878 and 326,682

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Solution

The third proportional to 152,878 and 326,682 is: 698,080.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,878 : 326,682 = 326,682 : x
  2. Step 2: Convert to fraction form
    152,878/326,682 = 326,682/x
  3. Step 3: Cross multiply
    152,878x = 326,682 × 326,682
  4. Step 4: Simplify right side
    152,878x = 106,721,129,124
  5. Step 5: Solve for x
    x = 106,721,129,124/152,878
  6. Step 6: Final answer
    x = 698,080.36

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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.