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Finding the Third Proportional to 219,645 and 291,627

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Solution

The third proportional to 219,645 and 291,627 is: 387,198.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,645 : 291,627 = 291,627 : x
  2. Step 2: Convert to fraction form
    219,645/291,627 = 291,627/x
  3. Step 3: Cross multiply
    219,645x = 291,627 × 291,627
  4. Step 4: Simplify right side
    219,645x = 85,046,307,129
  5. Step 5: Solve for x
    x = 85,046,307,129/219,645
  6. Step 6: Final answer
    x = 387,198.92

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.