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Finding the Third Proportional to 415,844 and 643,638

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Solution

The third proportional to 415,844 and 643,638 is: 996,214.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,844 : 643,638 = 643,638 : x
  2. Step 2: Convert to fraction form
    415,844/643,638 = 643,638/x
  3. Step 3: Cross multiply
    415,844x = 643,638 × 643,638
  4. Step 4: Simplify right side
    415,844x = 414,269,875,044
  5. Step 5: Solve for x
    x = 414,269,875,044/415,844
  6. Step 6: Final answer
    x = 996,214.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.