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Finding the Third Proportional to 35,122 and 77,628

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Solution

The third proportional to 35,122 and 77,628 is: 171,576.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,122 : 77,628 = 77,628 : x
  2. Step 2: Convert to fraction form
    35,122/77,628 = 77,628/x
  3. Step 3: Cross multiply
    35,122x = 77,628 × 77,628
  4. Step 4: Simplify right side
    35,122x = 6,026,106,384
  5. Step 5: Solve for x
    x = 6,026,106,384/35,122
  6. Step 6: Final answer
    x = 171,576.40

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.