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Finding the Third Proportional to 236,720 and 319,928

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Solution

The third proportional to 236,720 and 319,928 is: 432,383.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,720 : 319,928 = 319,928 : x
  2. Step 2: Convert to fraction form
    236,720/319,928 = 319,928/x
  3. Step 3: Cross multiply
    236,720x = 319,928 × 319,928
  4. Step 4: Simplify right side
    236,720x = 102,353,925,184
  5. Step 5: Solve for x
    x = 102,353,925,184/236,720
  6. Step 6: Final answer
    x = 432,383.94

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.