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Finding the Third Proportional to 45,270 and 68,310

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Solution

The third proportional to 45,270 and 68,310 is: 103,076.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,270 : 68,310 = 68,310 : x
  2. Step 2: Convert to fraction form
    45,270/68,310 = 68,310/x
  3. Step 3: Cross multiply
    45,270x = 68,310 × 68,310
  4. Step 4: Simplify right side
    45,270x = 4,666,256,100
  5. Step 5: Solve for x
    x = 4,666,256,100/45,270
  6. Step 6: Final answer
    x = 103,076.12

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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.