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Finding the Third Proportional to 102,076 and 218,909

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Solution

The third proportional to 102,076 and 218,909 is: 469,465.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,076 : 218,909 = 218,909 : x
  2. Step 2: Convert to fraction form
    102,076/218,909 = 218,909/x
  3. Step 3: Cross multiply
    102,076x = 218,909 × 218,909
  4. Step 4: Simplify right side
    102,076x = 47,921,150,281
  5. Step 5: Solve for x
    x = 47,921,150,281/102,076
  6. Step 6: Final answer
    x = 469,465.40

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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.