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Finding the Third Proportional to 285,903 and 621,605.81

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Solution

The third proportional to 285,903 and 621,605.81 is: 1,351,485.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,903 : 621,605.81 = 621,605.81 : x
  2. Step 2: Convert to fraction form
    285,903/621,605.81 = 621,605.81/x
  3. Step 3: Cross multiply
    285,903x = 621,605.81 × 621,605.81
  4. Step 4: Simplify right side
    285,903x = 386,393,786,133.79
  5. Step 5: Solve for x
    x = 386,393,786,133.79/285,903
  6. Step 6: Final answer
    x = 1,351,485.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.