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Finding the Third Proportional to 103,657 and 215,102

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Solution

The third proportional to 103,657 and 215,102 is: 446,365.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,657 : 215,102 = 215,102 : x
  2. Step 2: Convert to fraction form
    103,657/215,102 = 215,102/x
  3. Step 3: Cross multiply
    103,657x = 215,102 × 215,102
  4. Step 4: Simplify right side
    103,657x = 46,268,870,404
  5. Step 5: Solve for x
    x = 46,268,870,404/103,657
  6. Step 6: Final answer
    x = 446,365.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.