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Finding the Third Proportional to 432,450.75 and 928,840.50

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Solution

The third proportional to 432,450.75 and 928,840.50 is: 1,995,012.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,450.75 : 928,840.50 = 928,840.50 : x
  2. Step 2: Convert to fraction form
    432,450.75/928,840.50 = 928,840.50/x
  3. Step 3: Cross multiply
    432,450.75x = 928,840.50 × 928,840.50
  4. Step 4: Simplify right side
    432,450.75x = 862,744,674,440.25
  5. Step 5: Solve for x
    x = 862,744,674,440.25/432,450.75
  6. Step 6: Final answer
    x = 1,995,012.55

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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.