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Finding the Third Proportional to 303,412 and 665,143

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Solution

The third proportional to 303,412 and 665,143 is: 1,458,133.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,412 : 665,143 = 665,143 : x
  2. Step 2: Convert to fraction form
    303,412/665,143 = 665,143/x
  3. Step 3: Cross multiply
    303,412x = 665,143 × 665,143
  4. Step 4: Simplify right side
    303,412x = 442,415,210,449
  5. Step 5: Solve for x
    x = 442,415,210,449/303,412
  6. Step 6: Final answer
    x = 1,458,133.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.