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Finding the Third Proportional to 154,999.50 and 219,384.50

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Solution

The third proportional to 154,999.50 and 219,384.50 is: 310,514.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,999.50 : 219,384.50 = 219,384.50 : x
  2. Step 2: Convert to fraction form
    154,999.50/219,384.50 = 219,384.50/x
  3. Step 3: Cross multiply
    154,999.50x = 219,384.50 × 219,384.50
  4. Step 4: Simplify right side
    154,999.50x = 48,129,558,840.25
  5. Step 5: Solve for x
    x = 48,129,558,840.25/154,999.50
  6. Step 6: Final answer
    x = 310,514.28

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.