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Finding the Third Proportional to 285,908 and 420,546

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Solution

The third proportional to 285,908 and 420,546 is: 618,586.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,908 : 420,546 = 420,546 : x
  2. Step 2: Convert to fraction form
    285,908/420,546 = 420,546/x
  3. Step 3: Cross multiply
    285,908x = 420,546 × 420,546
  4. Step 4: Simplify right side
    285,908x = 176,858,938,116
  5. Step 5: Solve for x
    x = 176,858,938,116/285,908
  6. Step 6: Final answer
    x = 618,586.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.