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Finding the Third Proportional to 158,818 and 349,122

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Solution

The third proportional to 158,818 and 349,122 is: 767,458.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,818 : 349,122 = 349,122 : x
  2. Step 2: Convert to fraction form
    158,818/349,122 = 349,122/x
  3. Step 3: Cross multiply
    158,818x = 349,122 × 349,122
  4. Step 4: Simplify right side
    158,818x = 121,886,170,884
  5. Step 5: Solve for x
    x = 121,886,170,884/158,818
  6. Step 6: Final answer
    x = 767,458.17

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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.