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Finding the Third Proportional to 135,216 and 301,488

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Solution

The third proportional to 135,216 and 301,488 is: 672,220.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,216 : 301,488 = 301,488 : x
  2. Step 2: Convert to fraction form
    135,216/301,488 = 301,488/x
  3. Step 3: Cross multiply
    135,216x = 301,488 × 301,488
  4. Step 4: Simplify right side
    135,216x = 90,895,014,144
  5. Step 5: Solve for x
    x = 90,895,014,144/135,216
  6. Step 6: Final answer
    x = 672,220.85

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.