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Finding the Third Proportional to 34,278 and 54,321

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Solution

The third proportional to 34,278 and 54,321 is: 86,083.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,278 : 54,321 = 54,321 : x
  2. Step 2: Convert to fraction form
    34,278/54,321 = 54,321/x
  3. Step 3: Cross multiply
    34,278x = 54,321 × 54,321
  4. Step 4: Simplify right side
    34,278x = 2,950,771,041
  5. Step 5: Solve for x
    x = 2,950,771,041/34,278
  6. Step 6: Final answer
    x = 86,083.52

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.