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Finding the Third Proportional to 285,840 and 624,996

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Solution

The third proportional to 285,840 and 624,996 is: 1,366,568.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,840 : 624,996 = 624,996 : x
  2. Step 2: Convert to fraction form
    285,840/624,996 = 624,996/x
  3. Step 3: Cross multiply
    285,840x = 624,996 × 624,996
  4. Step 4: Simplify right side
    285,840x = 390,620,000,016
  5. Step 5: Solve for x
    x = 390,620,000,016/285,840
  6. Step 6: Final answer
    x = 1,366,568.71

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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.