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Finding the Third Proportional to 74,512 and 145,276

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Solution

The third proportional to 74,512 and 145,276 is: 283,244.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,512 : 145,276 = 145,276 : x
  2. Step 2: Convert to fraction form
    74,512/145,276 = 145,276/x
  3. Step 3: Cross multiply
    74,512x = 145,276 × 145,276
  4. Step 4: Simplify right side
    74,512x = 21,105,116,176
  5. Step 5: Solve for x
    x = 21,105,116,176/74,512
  6. Step 6: Final answer
    x = 283,244.53

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.