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Finding the Third Proportional to 144,438.75 and 211,308.75

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Solution

The third proportional to 144,438.75 and 211,308.75 is: 309,137.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,438.75 : 211,308.75 = 211,308.75 : x
  2. Step 2: Convert to fraction form
    144,438.75/211,308.75 = 211,308.75/x
  3. Step 3: Cross multiply
    144,438.75x = 211,308.75 × 211,308.75
  4. Step 4: Simplify right side
    144,438.75x = 44,651,387,826.56
  5. Step 5: Solve for x
    x = 44,651,387,826.56/144,438.75
  6. Step 6: Final answer
    x = 309,137.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.