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Finding the Third Proportional to 55,778 and 79,511

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Solution

The third proportional to 55,778 and 79,511 is: 113,342.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,778 : 79,511 = 79,511 : x
  2. Step 2: Convert to fraction form
    55,778/79,511 = 79,511/x
  3. Step 3: Cross multiply
    55,778x = 79,511 × 79,511
  4. Step 4: Simplify right side
    55,778x = 6,321,999,121
  5. Step 5: Solve for x
    x = 6,321,999,121/55,778
  6. Step 6: Final answer
    x = 113,342.16

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.