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Finding the Third Proportional to 138,583.50 and 299,343

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Solution

The third proportional to 138,583.50 and 299,343 is: 646,586.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,583.50 : 299,343 = 299,343 : x
  2. Step 2: Convert to fraction form
    138,583.50/299,343 = 299,343/x
  3. Step 3: Cross multiply
    138,583.50x = 299,343 × 299,343
  4. Step 4: Simplify right side
    138,583.50x = 89,606,231,649
  5. Step 5: Solve for x
    x = 89,606,231,649/138,583.50
  6. Step 6: Final answer
    x = 646,586.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.