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Finding the Third Proportional to 432,114.75 and 622,434.38

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Solution

The third proportional to 432,114.75 and 622,434.38 is: 896,577.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,114.75 : 622,434.38 = 622,434.38 : x
  2. Step 2: Convert to fraction form
    432,114.75/622,434.38 = 622,434.38/x
  3. Step 3: Cross multiply
    432,114.75x = 622,434.38 × 622,434.38
  4. Step 4: Simplify right side
    432,114.75x = 387,424,551,181.64
  5. Step 5: Solve for x
    x = 387,424,551,181.64/432,114.75
  6. Step 6: Final answer
    x = 896,577.94

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.