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Finding the Third Proportional to 103,221 and 145,359

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Solution

The third proportional to 103,221 and 145,359 is: 204,699.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,221 : 145,359 = 145,359 : x
  2. Step 2: Convert to fraction form
    103,221/145,359 = 145,359/x
  3. Step 3: Cross multiply
    103,221x = 145,359 × 145,359
  4. Step 4: Simplify right side
    103,221x = 21,129,238,881
  5. Step 5: Solve for x
    x = 21,129,238,881/103,221
  6. Step 6: Final answer
    x = 204,699.03

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.