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Finding the Third Proportional to 305,388.19 and 658,109.91

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Solution

The third proportional to 305,388.19 and 658,109.91 is: 1,418,223.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,388.19 : 658,109.91 = 658,109.91 : x
  2. Step 2: Convert to fraction form
    305,388.19/658,109.91 = 658,109.91/x
  3. Step 3: Cross multiply
    305,388.19x = 658,109.91 × 658,109.91
  4. Step 4: Simplify right side
    305,388.19x = 433,108,648,704.38
  5. Step 5: Solve for x
    x = 433,108,648,704.38/305,388.19
  6. Step 6: Final answer
    x = 1,418,223.32

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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.