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Finding the Third Proportional to 69,124.50 and 103,209.75

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Solution

The third proportional to 69,124.50 and 103,209.75 is: 154,102.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,124.50 : 103,209.75 = 103,209.75 : x
  2. Step 2: Convert to fraction form
    69,124.50/103,209.75 = 103,209.75/x
  3. Step 3: Cross multiply
    69,124.50x = 103,209.75 × 103,209.75
  4. Step 4: Simplify right side
    69,124.50x = 10,652,252,495.06
  5. Step 5: Solve for x
    x = 10,652,252,495.06/69,124.50
  6. Step 6: Final answer
    x = 154,102.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.