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Finding the Third Proportional to 285,574.50 and 614,209.50

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Solution

The third proportional to 285,574.50 and 614,209.50 is: 1,321,032.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,574.50 : 614,209.50 = 614,209.50 : x
  2. Step 2: Convert to fraction form
    285,574.50/614,209.50 = 614,209.50/x
  3. Step 3: Cross multiply
    285,574.50x = 614,209.50 × 614,209.50
  4. Step 4: Simplify right side
    285,574.50x = 377,253,309,890.25
  5. Step 5: Solve for x
    x = 377,253,309,890.25/285,574.50
  6. Step 6: Final answer
    x = 1,321,032.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.