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Finding the Third Proportional to 144,072.75 and 211,438.13

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Solution

The third proportional to 144,072.75 and 211,438.13 is: 310,302.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,072.75 : 211,438.13 = 211,438.13 : x
  2. Step 2: Convert to fraction form
    144,072.75/211,438.13 = 211,438.13/x
  3. Step 3: Cross multiply
    144,072.75x = 211,438.13 × 211,438.13
  4. Step 4: Simplify right side
    144,072.75x = 44,706,080,703.52
  5. Step 5: Solve for x
    x = 44,706,080,703.52/144,072.75
  6. Step 6: Final answer
    x = 310,302.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.