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Finding the Third Proportional to 339,081 and 512,988

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Solution

The third proportional to 339,081 and 512,988 is: 776,087.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,081 : 512,988 = 512,988 : x
  2. Step 2: Convert to fraction form
    339,081/512,988 = 512,988/x
  3. Step 3: Cross multiply
    339,081x = 512,988 × 512,988
  4. Step 4: Simplify right side
    339,081x = 263,156,688,144
  5. Step 5: Solve for x
    x = 263,156,688,144/339,081
  6. Step 6: Final answer
    x = 776,087.98

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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.