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Finding the Third Proportional to 64,479 and 136,788

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Solution

The third proportional to 64,479 and 136,788 is: 290,186.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,479 : 136,788 = 136,788 : x
  2. Step 2: Convert to fraction form
    64,479/136,788 = 136,788/x
  3. Step 3: Cross multiply
    64,479x = 136,788 × 136,788
  4. Step 4: Simplify right side
    64,479x = 18,710,956,944
  5. Step 5: Solve for x
    x = 18,710,956,944/64,479
  6. Step 6: Final answer
    x = 290,186.84

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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.