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Finding the Third Proportional to 474,872 and 679,021

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Solution

The third proportional to 474,872 and 679,021 is: 970,934.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,872 : 679,021 = 679,021 : x
  2. Step 2: Convert to fraction form
    474,872/679,021 = 679,021/x
  3. Step 3: Cross multiply
    474,872x = 679,021 × 679,021
  4. Step 4: Simplify right side
    474,872x = 461,069,518,441
  5. Step 5: Solve for x
    x = 461,069,518,441/474,872
  6. Step 6: Final answer
    x = 970,934.31

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.