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Finding the Third Proportional to 5,910 and 12,877.50

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Solution

The third proportional to 5,910 and 12,877.50 is: 28,059.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,910 : 12,877.50 = 12,877.50 : x
  2. Step 2: Convert to fraction form
    5,910/12,877.50 = 12,877.50/x
  3. Step 3: Cross multiply
    5,910x = 12,877.50 × 12,877.50
  4. Step 4: Simplify right side
    5,910x = 165,830,006.25
  5. Step 5: Solve for x
    x = 165,830,006.25/5,910
  6. Step 6: Final answer
    x = 28,059.22

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.