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Finding the Third Proportional to 64,610 and 136,893

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Solution

The third proportional to 64,610 and 136,893 is: 290,043.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,610 : 136,893 = 136,893 : x
  2. Step 2: Convert to fraction form
    64,610/136,893 = 136,893/x
  3. Step 3: Cross multiply
    64,610x = 136,893 × 136,893
  4. Step 4: Simplify right side
    64,610x = 18,739,693,449
  5. Step 5: Solve for x
    x = 18,739,693,449/64,610
  6. Step 6: Final answer
    x = 290,043.24

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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.