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Finding the Third Proportional to 150,009 and 219,090

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Solution

The third proportional to 150,009 and 219,090 is: 319,983.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,009 : 219,090 = 219,090 : x
  2. Step 2: Convert to fraction form
    150,009/219,090 = 219,090/x
  3. Step 3: Cross multiply
    150,009x = 219,090 × 219,090
  4. Step 4: Simplify right side
    150,009x = 48,000,428,100
  5. Step 5: Solve for x
    x = 48,000,428,100/150,009
  6. Step 6: Final answer
    x = 319,983.65

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.