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Finding the Third Proportional to 145,626.75 and 311,496.75

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Solution

The third proportional to 145,626.75 and 311,496.75 is: 666,293.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,626.75 : 311,496.75 = 311,496.75 : x
  2. Step 2: Convert to fraction form
    145,626.75/311,496.75 = 311,496.75/x
  3. Step 3: Cross multiply
    145,626.75x = 311,496.75 × 311,496.75
  4. Step 4: Simplify right side
    145,626.75x = 97,030,225,260.56
  5. Step 5: Solve for x
    x = 97,030,225,260.56/145,626.75
  6. Step 6: Final answer
    x = 666,293.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.