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Finding the Third Proportional to 179,778 and 390,933

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Solution

The third proportional to 179,778 and 390,933 is: 850,096.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,778 : 390,933 = 390,933 : x
  2. Step 2: Convert to fraction form
    179,778/390,933 = 390,933/x
  3. Step 3: Cross multiply
    179,778x = 390,933 × 390,933
  4. Step 4: Simplify right side
    179,778x = 152,828,610,489
  5. Step 5: Solve for x
    x = 152,828,610,489/179,778
  6. Step 6: Final answer
    x = 850,096.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.