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Finding the Third Proportional to 428,712.75 and 925,222.50

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Solution

The third proportional to 428,712.75 and 925,222.50 is: 1,996,760.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,712.75 : 925,222.50 = 925,222.50 : x
  2. Step 2: Convert to fraction form
    428,712.75/925,222.50 = 925,222.50/x
  3. Step 3: Cross multiply
    428,712.75x = 925,222.50 × 925,222.50
  4. Step 4: Simplify right side
    428,712.75x = 856,036,674,506.25
  5. Step 5: Solve for x
    x = 856,036,674,506.25/428,712.75
  6. Step 6: Final answer
    x = 1,996,760.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.