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Finding the Third Proportional to 102,130 and 218,288

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Solution

The third proportional to 102,130 and 218,288 is: 466,558.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,130 : 218,288 = 218,288 : x
  2. Step 2: Convert to fraction form
    102,130/218,288 = 218,288/x
  3. Step 3: Cross multiply
    102,130x = 218,288 × 218,288
  4. Step 4: Simplify right side
    102,130x = 47,649,650,944
  5. Step 5: Solve for x
    x = 47,649,650,944/102,130
  6. Step 6: Final answer
    x = 466,558.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.