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Finding the Third Proportional to 356,877 and 512,955

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Solution

The third proportional to 356,877 and 512,955 is: 737,292.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,877 : 512,955 = 512,955 : x
  2. Step 2: Convert to fraction form
    356,877/512,955 = 512,955/x
  3. Step 3: Cross multiply
    356,877x = 512,955 × 512,955
  4. Step 4: Simplify right side
    356,877x = 263,122,832,025
  5. Step 5: Solve for x
    x = 263,122,832,025/356,877
  6. Step 6: Final answer
    x = 737,292.77

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.