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Finding the Third Proportional to 138,783 and 219,543

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Solution

The third proportional to 138,783 and 219,543 is: 347,298.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,783 : 219,543 = 219,543 : x
  2. Step 2: Convert to fraction form
    138,783/219,543 = 219,543/x
  3. Step 3: Cross multiply
    138,783x = 219,543 × 219,543
  4. Step 4: Simplify right side
    138,783x = 48,199,128,849
  5. Step 5: Solve for x
    x = 48,199,128,849/138,783
  6. Step 6: Final answer
    x = 347,298.51

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.