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Finding the Third Proportional to 101,915 and 208,363

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Solution

The third proportional to 101,915 and 208,363 is: 425,993.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,915 : 208,363 = 208,363 : x
  2. Step 2: Convert to fraction form
    101,915/208,363 = 208,363/x
  3. Step 3: Cross multiply
    101,915x = 208,363 × 208,363
  4. Step 4: Simplify right side
    101,915x = 43,415,139,769
  5. Step 5: Solve for x
    x = 43,415,139,769/101,915
  6. Step 6: Final answer
    x = 425,993.62

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.