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Finding the Third Proportional to 230,371.50 and 343,780.50

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Solution

The third proportional to 230,371.50 and 343,780.50 is: 513,019.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,371.50 : 343,780.50 = 343,780.50 : x
  2. Step 2: Convert to fraction form
    230,371.50/343,780.50 = 343,780.50/x
  3. Step 3: Cross multiply
    230,371.50x = 343,780.50 × 343,780.50
  4. Step 4: Simplify right side
    230,371.50x = 118,185,032,180.25
  5. Step 5: Solve for x
    x = 118,185,032,180.25/230,371.50
  6. Step 6: Final answer
    x = 513,019.33

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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.