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Finding the Third Proportional to 212,503.50 and 320,802.75

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Solution

The third proportional to 212,503.50 and 320,802.75 is: 484,295.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,503.50 : 320,802.75 = 320,802.75 : x
  2. Step 2: Convert to fraction form
    212,503.50/320,802.75 = 320,802.75/x
  3. Step 3: Cross multiply
    212,503.50x = 320,802.75 × 320,802.75
  4. Step 4: Simplify right side
    212,503.50x = 102,914,404,407.56
  5. Step 5: Solve for x
    x = 102,914,404,407.56/212,503.50
  6. Step 6: Final answer
    x = 484,295.10

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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.