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Finding the Third Proportional to 144,645.75 and 311,492.25

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Solution

The third proportional to 144,645.75 and 311,492.25 is: 670,793.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,645.75 : 311,492.25 = 311,492.25 : x
  2. Step 2: Convert to fraction form
    144,645.75/311,492.25 = 311,492.25/x
  3. Step 3: Cross multiply
    144,645.75x = 311,492.25 × 311,492.25
  4. Step 4: Simplify right side
    144,645.75x = 97,027,421,810.06
  5. Step 5: Solve for x
    x = 97,027,421,810.06/144,645.75
  6. Step 6: Final answer
    x = 670,793.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.