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Finding the Third Proportional to 285,858 and 420,039

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Solution

The third proportional to 285,858 and 420,039 is: 617,204.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,858 : 420,039 = 420,039 : x
  2. Step 2: Convert to fraction form
    285,858/420,039 = 420,039/x
  3. Step 3: Cross multiply
    285,858x = 420,039 × 420,039
  4. Step 4: Simplify right side
    285,858x = 176,432,761,521
  5. Step 5: Solve for x
    x = 176,432,761,521/285,858
  6. Step 6: Final answer
    x = 617,204.21

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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.