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Finding the Third Proportional to 415,954 and 617,813

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Solution

The third proportional to 415,954 and 617,813 is: 917,632.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,954 : 617,813 = 617,813 : x
  2. Step 2: Convert to fraction form
    415,954/617,813 = 617,813/x
  3. Step 3: Cross multiply
    415,954x = 617,813 × 617,813
  4. Step 4: Simplify right side
    415,954x = 381,692,902,969
  5. Step 5: Solve for x
    x = 381,692,902,969/415,954
  6. Step 6: Final answer
    x = 917,632.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.