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Finding the Third Proportional to 349,638.61 and 493,512.47

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Solution

The third proportional to 349,638.61 and 493,512.47 is: 696,589.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,638.61 : 493,512.47 = 493,512.47 : x
  2. Step 2: Convert to fraction form
    349,638.61/493,512.47 = 493,512.47/x
  3. Step 3: Cross multiply
    349,638.61x = 493,512.47 × 493,512.47
  4. Step 4: Simplify right side
    349,638.61x = 243,554,556,811.72
  5. Step 5: Solve for x
    x = 243,554,556,811.72/349,638.61
  6. Step 6: Final answer
    x = 696,589.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.