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Finding the Third Proportional to 108,243 and 234,729

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Solution

The third proportional to 108,243 and 234,729 is: 509,018.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,243 : 234,729 = 234,729 : x
  2. Step 2: Convert to fraction form
    108,243/234,729 = 234,729/x
  3. Step 3: Cross multiply
    108,243x = 234,729 × 234,729
  4. Step 4: Simplify right side
    108,243x = 55,097,703,441
  5. Step 5: Solve for x
    x = 55,097,703,441/108,243
  6. Step 6: Final answer
    x = 509,018.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.