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Finding the Third Proportional to 432,960.75 and 679,180.50

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Solution

The third proportional to 432,960.75 and 679,180.50 is: 1,065,422.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,960.75 : 679,180.50 = 679,180.50 : x
  2. Step 2: Convert to fraction form
    432,960.75/679,180.50 = 679,180.50/x
  3. Step 3: Cross multiply
    432,960.75x = 679,180.50 × 679,180.50
  4. Step 4: Simplify right side
    432,960.75x = 461,286,151,580.25
  5. Step 5: Solve for x
    x = 461,286,151,580.25/432,960.75
  6. Step 6: Final answer
    x = 1,065,422.56

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.