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Finding the Third Proportional to 299,254.50 and 639,981

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Solution

The third proportional to 299,254.50 and 639,981 is: 1,368,653.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,254.50 : 639,981 = 639,981 : x
  2. Step 2: Convert to fraction form
    299,254.50/639,981 = 639,981/x
  3. Step 3: Cross multiply
    299,254.50x = 639,981 × 639,981
  4. Step 4: Simplify right side
    299,254.50x = 409,575,680,361
  5. Step 5: Solve for x
    x = 409,575,680,361/299,254.50
  6. Step 6: Final answer
    x = 1,368,653.37

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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.