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Finding the Third Proportional to 145,108.69 and 219,853.69

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Solution

The third proportional to 145,108.69 and 219,853.69 is: 333,099.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,108.69 : 219,853.69 = 219,853.69 : x
  2. Step 2: Convert to fraction form
    145,108.69/219,853.69 = 219,853.69/x
  3. Step 3: Cross multiply
    145,108.69x = 219,853.69 × 219,853.69
  4. Step 4: Simplify right side
    145,108.69x = 48,335,643,907.35
  5. Step 5: Solve for x
    x = 48,335,643,907.35/145,108.69
  6. Step 6: Final answer
    x = 333,099.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.