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Finding the Third Proportional to 428,612.22 and 587,744.10

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Solution

The third proportional to 428,612.22 and 587,744.10 is: 805,957.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,612.22 : 587,744.10 = 587,744.10 : x
  2. Step 2: Convert to fraction form
    428,612.22/587,744.10 = 587,744.10/x
  3. Step 3: Cross multiply
    428,612.22x = 587,744.10 × 587,744.10
  4. Step 4: Simplify right side
    428,612.22x = 345,443,130,571.66
  5. Step 5: Solve for x
    x = 345,443,130,571.66/428,612.22
  6. Step 6: Final answer
    x = 805,957.26

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.