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Finding the Third Proportional to 31,487.63 and 68,450.63

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Solution

The third proportional to 31,487.63 and 68,450.63 is: 148,804.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,487.63 : 68,450.63 = 68,450.63 : x
  2. Step 2: Convert to fraction form
    31,487.63/68,450.63 = 68,450.63/x
  3. Step 3: Cross multiply
    31,487.63x = 68,450.63 × 68,450.63
  4. Step 4: Simplify right side
    31,487.63x = 4,685,488,062.89
  5. Step 5: Solve for x
    x = 4,685,488,062.89/31,487.63
  6. Step 6: Final answer
    x = 148,804.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.