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Finding the Third Proportional to 130,098 and 283,980

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Solution

The third proportional to 130,098 and 283,980 is: 619,876.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,098 : 283,980 = 283,980 : x
  2. Step 2: Convert to fraction form
    130,098/283,980 = 283,980/x
  3. Step 3: Cross multiply
    130,098x = 283,980 × 283,980
  4. Step 4: Simplify right side
    130,098x = 80,644,640,400
  5. Step 5: Solve for x
    x = 80,644,640,400/130,098
  6. Step 6: Final answer
    x = 619,876.10

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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.