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Finding the Third Proportional to 130,896 and 285,120

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Solution

The third proportional to 130,896 and 285,120 is: 621,053.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,896 : 285,120 = 285,120 : x
  2. Step 2: Convert to fraction form
    130,896/285,120 = 285,120/x
  3. Step 3: Cross multiply
    130,896x = 285,120 × 285,120
  4. Step 4: Simplify right side
    130,896x = 81,293,414,400
  5. Step 5: Solve for x
    x = 81,293,414,400/130,896
  6. Step 6: Final answer
    x = 621,053.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.