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Finding the Third Proportional to 53,778 and 85,421

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Solution

The third proportional to 53,778 and 85,421 is: 135,682.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,778 : 85,421 = 85,421 : x
  2. Step 2: Convert to fraction form
    53,778/85,421 = 85,421/x
  3. Step 3: Cross multiply
    53,778x = 85,421 × 85,421
  4. Step 4: Simplify right side
    53,778x = 7,296,747,241
  5. Step 5: Solve for x
    x = 7,296,747,241/53,778
  6. Step 6: Final answer
    x = 135,682.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.