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Finding the Third Proportional to 77,642 and 117,201

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Solution

The third proportional to 77,642 and 117,201 is: 176,915.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,642 : 117,201 = 117,201 : x
  2. Step 2: Convert to fraction form
    77,642/117,201 = 117,201/x
  3. Step 3: Cross multiply
    77,642x = 117,201 × 117,201
  4. Step 4: Simplify right side
    77,642x = 13,736,074,401
  5. Step 5: Solve for x
    x = 13,736,074,401/77,642
  6. Step 6: Final answer
    x = 176,915.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.