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Finding the Third Proportional to 64,731 and 138,786

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Solution

The third proportional to 64,731 and 138,786 is: 297,563.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,731 : 138,786 = 138,786 : x
  2. Step 2: Convert to fraction form
    64,731/138,786 = 138,786/x
  3. Step 3: Cross multiply
    64,731x = 138,786 × 138,786
  4. Step 4: Simplify right side
    64,731x = 19,261,553,796
  5. Step 5: Solve for x
    x = 19,261,553,796/64,731
  6. Step 6: Final answer
    x = 297,563.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.