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Finding the Third Proportional to 138,384.75 and 299,720.25

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Solution

The third proportional to 138,384.75 and 299,720.25 is: 649,148.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,384.75 : 299,720.25 = 299,720.25 : x
  2. Step 2: Convert to fraction form
    138,384.75/299,720.25 = 299,720.25/x
  3. Step 3: Cross multiply
    138,384.75x = 299,720.25 × 299,720.25
  4. Step 4: Simplify right side
    138,384.75x = 89,832,228,260.06
  5. Step 5: Solve for x
    x = 89,832,228,260.06/138,384.75
  6. Step 6: Final answer
    x = 649,148.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.