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Finding the Third Proportional to 149,886.56 and 321,139.97

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Solution

The third proportional to 149,886.56 and 321,139.97 is: 688,059.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,886.56 : 321,139.97 = 321,139.97 : x
  2. Step 2: Convert to fraction form
    149,886.56/321,139.97 = 321,139.97/x
  3. Step 3: Cross multiply
    149,886.56x = 321,139.97 × 321,139.97
  4. Step 4: Simplify right side
    149,886.56x = 103,130,879,528.75
  5. Step 5: Solve for x
    x = 103,130,879,528.75/149,886.56
  6. Step 6: Final answer
    x = 688,059.54

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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.