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Finding the Third Proportional to 544,770 and 643,185

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Solution

The third proportional to 544,770 and 643,185 is: 759,379.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,770 : 643,185 = 643,185 : x
  2. Step 2: Convert to fraction form
    544,770/643,185 = 643,185/x
  3. Step 3: Cross multiply
    544,770x = 643,185 × 643,185
  4. Step 4: Simplify right side
    544,770x = 413,686,944,225
  5. Step 5: Solve for x
    x = 413,686,944,225/544,770
  6. Step 6: Final answer
    x = 759,379.09

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.