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Finding the Third Proportional to 35,421 and 77,281

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Solution

The third proportional to 35,421 and 77,281 is: 168,610.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,421 : 77,281 = 77,281 : x
  2. Step 2: Convert to fraction form
    35,421/77,281 = 77,281/x
  3. Step 3: Cross multiply
    35,421x = 77,281 × 77,281
  4. Step 4: Simplify right side
    35,421x = 5,972,352,961
  5. Step 5: Solve for x
    x = 5,972,352,961/35,421
  6. Step 6: Final answer
    x = 168,610.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.