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Finding the Third Proportional to 228,078 and 328,540.50

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Solution

The third proportional to 228,078 and 328,540.50 is: 473,254.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,078 : 328,540.50 = 328,540.50 : x
  2. Step 2: Convert to fraction form
    228,078/328,540.50 = 328,540.50/x
  3. Step 3: Cross multiply
    228,078x = 328,540.50 × 328,540.50
  4. Step 4: Simplify right side
    228,078x = 107,938,860,140.25
  5. Step 5: Solve for x
    x = 107,938,860,140.25/228,078
  6. Step 6: Final answer
    x = 473,254.15

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.