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Finding the Third Proportional to 389,617 and 598,467

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Solution

The third proportional to 389,617 and 598,467 is: 919,268.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,617 : 598,467 = 598,467 : x
  2. Step 2: Convert to fraction form
    389,617/598,467 = 598,467/x
  3. Step 3: Cross multiply
    389,617x = 598,467 × 598,467
  4. Step 4: Simplify right side
    389,617x = 358,162,750,089
  5. Step 5: Solve for x
    x = 358,162,750,089/389,617
  6. Step 6: Final answer
    x = 919,268.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.