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Finding the Third Proportional to 432,004.50 and 653,958

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Solution

The third proportional to 432,004.50 and 653,958 is: 989,945.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,004.50 : 653,958 = 653,958 : x
  2. Step 2: Convert to fraction form
    432,004.50/653,958 = 653,958/x
  3. Step 3: Cross multiply
    432,004.50x = 653,958 × 653,958
  4. Step 4: Simplify right side
    432,004.50x = 427,661,065,764
  5. Step 5: Solve for x
    x = 427,661,065,764/432,004.50
  6. Step 6: Final answer
    x = 989,945.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.