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Finding the Third Proportional to 242,976 and 326,928

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Solution

The third proportional to 242,976 and 326,928 is: 439,886.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,976 : 326,928 = 326,928 : x
  2. Step 2: Convert to fraction form
    242,976/326,928 = 326,928/x
  3. Step 3: Cross multiply
    242,976x = 326,928 × 326,928
  4. Step 4: Simplify right side
    242,976x = 106,881,917,184
  5. Step 5: Solve for x
    x = 106,881,917,184/242,976
  6. Step 6: Final answer
    x = 439,886.73

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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.