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Finding the Third Proportional to 74,517 and 145,299

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Solution

The third proportional to 74,517 and 145,299 is: 283,315.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,517 : 145,299 = 145,299 : x
  2. Step 2: Convert to fraction form
    74,517/145,299 = 145,299/x
  3. Step 3: Cross multiply
    74,517x = 145,299 × 145,299
  4. Step 4: Simplify right side
    74,517x = 21,111,799,401
  5. Step 5: Solve for x
    x = 21,111,799,401/74,517
  6. Step 6: Final answer
    x = 283,315.21

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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.