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Finding the Third Proportional to 129,744 and 285,030

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Solution

The third proportional to 129,744 and 285,030 is: 626,172.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,744 : 285,030 = 285,030 : x
  2. Step 2: Convert to fraction form
    129,744/285,030 = 285,030/x
  3. Step 3: Cross multiply
    129,744x = 285,030 × 285,030
  4. Step 4: Simplify right side
    129,744x = 81,242,100,900
  5. Step 5: Solve for x
    x = 81,242,100,900/129,744
  6. Step 6: Final answer
    x = 626,172.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.