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Finding the Third Proportional to 158,868 and 349,221

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Solution

The third proportional to 158,868 and 349,221 is: 767,651.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,868 : 349,221 = 349,221 : x
  2. Step 2: Convert to fraction form
    158,868/349,221 = 349,221/x
  3. Step 3: Cross multiply
    158,868x = 349,221 × 349,221
  4. Step 4: Simplify right side
    158,868x = 121,955,306,841
  5. Step 5: Solve for x
    x = 121,955,306,841/158,868
  6. Step 6: Final answer
    x = 767,651.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.