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Finding the Third Proportional to 61,731 and 128,304

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Solution

The third proportional to 61,731 and 128,304 is: 266,671.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,731 : 128,304 = 128,304 : x
  2. Step 2: Convert to fraction form
    61,731/128,304 = 128,304/x
  3. Step 3: Cross multiply
    61,731x = 128,304 × 128,304
  4. Step 4: Simplify right side
    61,731x = 16,461,916,416
  5. Step 5: Solve for x
    x = 16,461,916,416/61,731
  6. Step 6: Final answer
    x = 266,671.79

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.