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Finding the Third Proportional to 61,076 and 128,713

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Solution

The third proportional to 61,076 and 128,713 is: 271,252.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,076 : 128,713 = 128,713 : x
  2. Step 2: Convert to fraction form
    61,076/128,713 = 128,713/x
  3. Step 3: Cross multiply
    61,076x = 128,713 × 128,713
  4. Step 4: Simplify right side
    61,076x = 16,567,036,369
  5. Step 5: Solve for x
    x = 16,567,036,369/61,076
  6. Step 6: Final answer
    x = 271,252.81

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.