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Finding the Third Proportional to 729,000 and 1,537,218

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Solution

The third proportional to 729,000 and 1,537,218 is: 3,241,480.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,000 : 1,537,218 = 1,537,218 : x
  2. Step 2: Convert to fraction form
    729,000/1,537,218 = 1,537,218/x
  3. Step 3: Cross multiply
    729,000x = 1,537,218 × 1,537,218
  4. Step 4: Simplify right side
    729,000x = 2,363,039,179,524
  5. Step 5: Solve for x
    x = 2,363,039,179,524/729,000
  6. Step 6: Final answer
    x = 3,241,480.36

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.