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Finding the Third Proportional to 173,728 and 275,312

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Solution

The third proportional to 173,728 and 275,312 is: 436,295.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,728 : 275,312 = 275,312 : x
  2. Step 2: Convert to fraction form
    173,728/275,312 = 275,312/x
  3. Step 3: Cross multiply
    173,728x = 275,312 × 275,312
  4. Step 4: Simplify right side
    173,728x = 75,796,697,344
  5. Step 5: Solve for x
    x = 75,796,697,344/173,728
  6. Step 6: Final answer
    x = 436,295.23

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.