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Finding the Third Proportional to 35,409 and 54,342

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Solution

The third proportional to 35,409 and 54,342 is: 83,398.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,409 : 54,342 = 54,342 : x
  2. Step 2: Convert to fraction form
    35,409/54,342 = 54,342/x
  3. Step 3: Cross multiply
    35,409x = 54,342 × 54,342
  4. Step 4: Simplify right side
    35,409x = 2,953,052,964
  5. Step 5: Solve for x
    x = 2,953,052,964/35,409
  6. Step 6: Final answer
    x = 83,398.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.