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Finding the Third Proportional to 285,156 and 624,744

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Solution

The third proportional to 285,156 and 624,744 is: 1,368,742.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,156 : 624,744 = 624,744 : x
  2. Step 2: Convert to fraction form
    285,156/624,744 = 624,744/x
  3. Step 3: Cross multiply
    285,156x = 624,744 × 624,744
  4. Step 4: Simplify right side
    285,156x = 390,305,065,536
  5. Step 5: Solve for x
    x = 390,305,065,536/285,156
  6. Step 6: Final answer
    x = 1,368,742.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.