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Finding the Third Proportional to 137,312 and 320,800

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Solution

The third proportional to 137,312 and 320,800 is: 749,480.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,312 : 320,800 = 320,800 : x
  2. Step 2: Convert to fraction form
    137,312/320,800 = 320,800/x
  3. Step 3: Cross multiply
    137,312x = 320,800 × 320,800
  4. Step 4: Simplify right side
    137,312x = 102,912,640,000
  5. Step 5: Solve for x
    x = 102,912,640,000/137,312
  6. Step 6: Final answer
    x = 749,480.31

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.