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Finding the Third Proportional to 12,415.78 and 28,829.67

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Solution

The third proportional to 12,415.78 and 28,829.67 is: 66,943.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,415.78 : 28,829.67 = 28,829.67 : x
  2. Step 2: Convert to fraction form
    12,415.78/28,829.67 = 28,829.67/x
  3. Step 3: Cross multiply
    12,415.78x = 28,829.67 × 28,829.67
  4. Step 4: Simplify right side
    12,415.78x = 831,149,980.42
  5. Step 5: Solve for x
    x = 831,149,980.42/12,415.78
  6. Step 6: Final answer
    x = 66,943.03

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.