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Finding the Third Proportional to 339,489 and 744,264

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Solution

The third proportional to 339,489 and 744,264 is: 1,631,654.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,489 : 744,264 = 744,264 : x
  2. Step 2: Convert to fraction form
    339,489/744,264 = 744,264/x
  3. Step 3: Cross multiply
    339,489x = 744,264 × 744,264
  4. Step 4: Simplify right side
    339,489x = 553,928,901,696
  5. Step 5: Solve for x
    x = 553,928,901,696/339,489
  6. Step 6: Final answer
    x = 1,631,654.93

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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.