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Finding the Third Proportional to 305,554 and 657,916

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Solution

The third proportional to 305,554 and 657,916 is: 1,416,618.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,554 : 657,916 = 657,916 : x
  2. Step 2: Convert to fraction form
    305,554/657,916 = 657,916/x
  3. Step 3: Cross multiply
    305,554x = 657,916 × 657,916
  4. Step 4: Simplify right side
    305,554x = 432,853,463,056
  5. Step 5: Solve for x
    x = 432,853,463,056/305,554
  6. Step 6: Final answer
    x = 1,416,618.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.