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Finding the Third Proportional to 428,481.14 and 651,133.69

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Solution

The third proportional to 428,481.14 and 651,133.69 is: 989,483.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,481.14 : 651,133.69 = 651,133.69 : x
  2. Step 2: Convert to fraction form
    428,481.14/651,133.69 = 651,133.69/x
  3. Step 3: Cross multiply
    428,481.14x = 651,133.69 × 651,133.69
  4. Step 4: Simplify right side
    428,481.14x = 423,975,078,997.35
  5. Step 5: Solve for x
    x = 423,975,078,997.35/428,481.14
  6. Step 6: Final answer
    x = 989,483.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.