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Finding the Third Proportional to 457,212.94 and 679,200.47

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Solution

The third proportional to 457,212.94 and 679,200.47 is: 1,008,968.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,212.94 : 679,200.47 = 679,200.47 : x
  2. Step 2: Convert to fraction form
    457,212.94/679,200.47 = 679,200.47/x
  3. Step 3: Cross multiply
    457,212.94x = 679,200.47 × 679,200.47
  4. Step 4: Simplify right side
    457,212.94x = 461,313,276,750.22
  5. Step 5: Solve for x
    x = 461,313,276,750.22/457,212.94
  6. Step 6: Final answer
    x = 1,008,968.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.