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Finding the Third Proportional to 64,505 and 136,842

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Solution

The third proportional to 64,505 and 136,842 is: 290,298.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,505 : 136,842 = 136,842 : x
  2. Step 2: Convert to fraction form
    64,505/136,842 = 136,842/x
  3. Step 3: Cross multiply
    64,505x = 136,842 × 136,842
  4. Step 4: Simplify right side
    64,505x = 18,725,732,964
  5. Step 5: Solve for x
    x = 18,725,732,964/64,505
  6. Step 6: Final answer
    x = 290,298.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.