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Finding the Third Proportional to 69,380 and 103,302

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Solution

The third proportional to 69,380 and 103,302 is: 153,809.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,380 : 103,302 = 103,302 : x
  2. Step 2: Convert to fraction form
    69,380/103,302 = 103,302/x
  3. Step 3: Cross multiply
    69,380x = 103,302 × 103,302
  4. Step 4: Simplify right side
    69,380x = 10,671,303,204
  5. Step 5: Solve for x
    x = 10,671,303,204/69,380
  6. Step 6: Final answer
    x = 153,809.50

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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.