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Finding the Third Proportional to 428,632.88 and 921,782.25

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Solution

The third proportional to 428,632.88 and 921,782.25 is: 1,982,308.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,632.88 : 921,782.25 = 921,782.25 : x
  2. Step 2: Convert to fraction form
    428,632.88/921,782.25 = 921,782.25/x
  3. Step 3: Cross multiply
    428,632.88x = 921,782.25 × 921,782.25
  4. Step 4: Simplify right side
    428,632.88x = 849,682,516,415.06
  5. Step 5: Solve for x
    x = 849,682,516,415.06/428,632.88
  6. Step 6: Final answer
    x = 1,982,308.32

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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.