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Finding the Third Proportional to 158,980 and 349,304

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Solution

The third proportional to 158,980 and 349,304 is: 767,475.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,980 : 349,304 = 349,304 : x
  2. Step 2: Convert to fraction form
    158,980/349,304 = 349,304/x
  3. Step 3: Cross multiply
    158,980x = 349,304 × 349,304
  4. Step 4: Simplify right side
    158,980x = 122,013,284,416
  5. Step 5: Solve for x
    x = 122,013,284,416/158,980
  6. Step 6: Final answer
    x = 767,475.69

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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.