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Finding the Third Proportional to 301,621.50 and 421,880.63

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Solution

The third proportional to 301,621.50 and 421,880.63 is: 590,088.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,621.50 : 421,880.63 = 421,880.63 : x
  2. Step 2: Convert to fraction form
    301,621.50/421,880.63 = 421,880.63/x
  3. Step 3: Cross multiply
    301,621.50x = 421,880.63 × 421,880.63
  4. Step 4: Simplify right side
    301,621.50x = 177,983,261,750.39
  5. Step 5: Solve for x
    x = 177,983,261,750.39/301,621.50
  6. Step 6: Final answer
    x = 590,088.11

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.