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Finding the Third Proportional to 135,714 and 199,516

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Solution

The third proportional to 135,714 and 199,516 is: 293,312.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,714 : 199,516 = 199,516 : x
  2. Step 2: Convert to fraction form
    135,714/199,516 = 199,516/x
  3. Step 3: Cross multiply
    135,714x = 199,516 × 199,516
  4. Step 4: Simplify right side
    135,714x = 39,806,634,256
  5. Step 5: Solve for x
    x = 39,806,634,256/135,714
  6. Step 6: Final answer
    x = 293,312.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.