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Finding the Third Proportional to 305,878 and 658,624

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Solution

The third proportional to 305,878 and 658,624 is: 1,418,165.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,878 : 658,624 = 658,624 : x
  2. Step 2: Convert to fraction form
    305,878/658,624 = 658,624/x
  3. Step 3: Cross multiply
    305,878x = 658,624 × 658,624
  4. Step 4: Simplify right side
    305,878x = 433,785,573,376
  5. Step 5: Solve for x
    x = 433,785,573,376/305,878
  6. Step 6: Final answer
    x = 1,418,165.33

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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.