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Finding the Third Proportional to 285,059.25 and 619,734.80

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Solution

The third proportional to 285,059.25 and 619,734.80 is: 1,347,338.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,059.25 : 619,734.80 = 619,734.80 : x
  2. Step 2: Convert to fraction form
    285,059.25/619,734.80 = 619,734.80/x
  3. Step 3: Cross multiply
    285,059.25x = 619,734.80 × 619,734.80
  4. Step 4: Simplify right side
    285,059.25x = 384,071,218,457.70
  5. Step 5: Solve for x
    x = 384,071,218,457.70/285,059.25
  6. Step 6: Final answer
    x = 1,347,338.21

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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.