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Finding the Third Proportional to 152,555 and 328,069

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Solution

The third proportional to 152,555 and 328,069 is: 705,511.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,555 : 328,069 = 328,069 : x
  2. Step 2: Convert to fraction form
    152,555/328,069 = 328,069/x
  3. Step 3: Cross multiply
    152,555x = 328,069 × 328,069
  4. Step 4: Simplify right side
    152,555x = 107,629,268,761
  5. Step 5: Solve for x
    x = 107,629,268,761/152,555
  6. Step 6: Final answer
    x = 705,511.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.