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Finding the Third Proportional to 147,122.63 and 311,902.50

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Solution

The third proportional to 147,122.63 and 311,902.50 is: 661,238.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,122.63 : 311,902.50 = 311,902.50 : x
  2. Step 2: Convert to fraction form
    147,122.63/311,902.50 = 311,902.50/x
  3. Step 3: Cross multiply
    147,122.63x = 311,902.50 × 311,902.50
  4. Step 4: Simplify right side
    147,122.63x = 97,283,169,506.25
  5. Step 5: Solve for x
    x = 97,283,169,506.25/147,122.63
  6. Step 6: Final answer
    x = 661,238.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.