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Finding the Third Proportional to 219,135 and 455,118

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Solution

The third proportional to 219,135 and 455,118 is: 945,227.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,135 : 455,118 = 455,118 : x
  2. Step 2: Convert to fraction form
    219,135/455,118 = 455,118/x
  3. Step 3: Cross multiply
    219,135x = 455,118 × 455,118
  4. Step 4: Simplify right side
    219,135x = 207,132,393,924
  5. Step 5: Solve for x
    x = 207,132,393,924/219,135
  6. Step 6: Final answer
    x = 945,227.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.