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Finding the Third Proportional to 130,140 and 271,576

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Solution

The third proportional to 130,140 and 271,576 is: 566,724.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,140 : 271,576 = 271,576 : x
  2. Step 2: Convert to fraction form
    130,140/271,576 = 271,576/x
  3. Step 3: Cross multiply
    130,140x = 271,576 × 271,576
  4. Step 4: Simplify right side
    130,140x = 73,753,523,776
  5. Step 5: Solve for x
    x = 73,753,523,776/130,140
  6. Step 6: Final answer
    x = 566,724.48

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.