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Finding the Third Proportional to 512,409 and 729,938

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Solution

The third proportional to 512,409 and 729,938 is: 1,039,812.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,409 : 729,938 = 729,938 : x
  2. Step 2: Convert to fraction form
    512,409/729,938 = 729,938/x
  3. Step 3: Cross multiply
    512,409x = 729,938 × 729,938
  4. Step 4: Simplify right side
    512,409x = 532,809,483,844
  5. Step 5: Solve for x
    x = 532,809,483,844/512,409
  6. Step 6: Final answer
    x = 1,039,812.89

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.