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Finding the Third Proportional to 35,421 and 54,270

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Solution

The third proportional to 35,421 and 54,270 is: 83,149.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,421 : 54,270 = 54,270 : x
  2. Step 2: Convert to fraction form
    35,421/54,270 = 54,270/x
  3. Step 3: Cross multiply
    35,421x = 54,270 × 54,270
  4. Step 4: Simplify right side
    35,421x = 2,945,232,900
  5. Step 5: Solve for x
    x = 2,945,232,900/35,421
  6. Step 6: Final answer
    x = 83,149.34

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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.