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Finding the Third Proportional to 101,913 and 208,359

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Solution

The third proportional to 101,913 and 208,359 is: 425,985.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,913 : 208,359 = 208,359 : x
  2. Step 2: Convert to fraction form
    101,913/208,359 = 208,359/x
  3. Step 3: Cross multiply
    101,913x = 208,359 × 208,359
  4. Step 4: Simplify right side
    101,913x = 43,413,472,881
  5. Step 5: Solve for x
    x = 43,413,472,881/101,913
  6. Step 6: Final answer
    x = 425,985.62

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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.