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Finding the Third Proportional to 319,778 and 461,988

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Solution

The third proportional to 319,778 and 461,988 is: 667,440.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,778 : 461,988 = 461,988 : x
  2. Step 2: Convert to fraction form
    319,778/461,988 = 461,988/x
  3. Step 3: Cross multiply
    319,778x = 461,988 × 461,988
  4. Step 4: Simplify right side
    319,778x = 213,432,912,144
  5. Step 5: Solve for x
    x = 213,432,912,144/319,778
  6. Step 6: Final answer
    x = 667,440.89

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.