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Finding the Third Proportional to 103,028 and 217,309

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Solution

The third proportional to 103,028 and 217,309 is: 458,353.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,028 : 217,309 = 217,309 : x
  2. Step 2: Convert to fraction form
    103,028/217,309 = 217,309/x
  3. Step 3: Cross multiply
    103,028x = 217,309 × 217,309
  4. Step 4: Simplify right side
    103,028x = 47,223,201,481
  5. Step 5: Solve for x
    x = 47,223,201,481/103,028
  6. Step 6: Final answer
    x = 458,353.08

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.