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Finding the Third Proportional to 130,980 and 285,944

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Solution

The third proportional to 130,980 and 285,944 is: 624,247.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,980 : 285,944 = 285,944 : x
  2. Step 2: Convert to fraction form
    130,980/285,944 = 285,944/x
  3. Step 3: Cross multiply
    130,980x = 285,944 × 285,944
  4. Step 4: Simplify right side
    130,980x = 81,763,971,136
  5. Step 5: Solve for x
    x = 81,763,971,136/130,980
  6. Step 6: Final answer
    x = 624,247.76

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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.