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Finding the Third Proportional to 134,612 and 199,312

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Solution

The third proportional to 134,612 and 199,312 is: 295,109.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,612 : 199,312 = 199,312 : x
  2. Step 2: Convert to fraction form
    134,612/199,312 = 199,312/x
  3. Step 3: Cross multiply
    134,612x = 199,312 × 199,312
  4. Step 4: Simplify right side
    134,612x = 39,725,273,344
  5. Step 5: Solve for x
    x = 39,725,273,344/134,612
  6. Step 6: Final answer
    x = 295,109.45

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.