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Finding the Third Proportional to 382,919 and 832,988

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Solution

The third proportional to 382,919 and 832,988 is: 1,812,051.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,919 : 832,988 = 832,988 : x
  2. Step 2: Convert to fraction form
    382,919/832,988 = 832,988/x
  3. Step 3: Cross multiply
    382,919x = 832,988 × 832,988
  4. Step 4: Simplify right side
    382,919x = 693,869,008,144
  5. Step 5: Solve for x
    x = 693,869,008,144/382,919
  6. Step 6: Final answer
    x = 1,812,051.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.