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Finding the Third Proportional to 204,032 and 293,840

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Solution

The third proportional to 204,032 and 293,840 is: 423,178.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,032 : 293,840 = 293,840 : x
  2. Step 2: Convert to fraction form
    204,032/293,840 = 293,840/x
  3. Step 3: Cross multiply
    204,032x = 293,840 × 293,840
  4. Step 4: Simplify right side
    204,032x = 86,341,945,600
  5. Step 5: Solve for x
    x = 86,341,945,600/204,032
  6. Step 6: Final answer
    x = 423,178.45

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.