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Finding the Third Proportional to 196,778 and 302,511

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Solution

The third proportional to 196,778 and 302,511 is: 465,056.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,778 : 302,511 = 302,511 : x
  2. Step 2: Convert to fraction form
    196,778/302,511 = 302,511/x
  3. Step 3: Cross multiply
    196,778x = 302,511 × 302,511
  4. Step 4: Simplify right side
    196,778x = 91,512,905,121
  5. Step 5: Solve for x
    x = 91,512,905,121/196,778
  6. Step 6: Final answer
    x = 465,056.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.