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Finding the Third Proportional to 303,116.34 and 421,459.03

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Solution

The third proportional to 303,116.34 and 421,459.03 is: 586,005.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,116.34 : 421,459.03 = 421,459.03 : x
  2. Step 2: Convert to fraction form
    303,116.34/421,459.03 = 421,459.03/x
  3. Step 3: Cross multiply
    303,116.34x = 421,459.03 × 421,459.03
  4. Step 4: Simplify right side
    303,116.34x = 177,627,715,022.19
  5. Step 5: Solve for x
    x = 177,627,715,022.19/303,116.34
  6. Step 6: Final answer
    x = 586,005.07

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.