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Finding the Third Proportional to 59,710 and 128,744

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Solution

The third proportional to 59,710 and 128,744 is: 277,591.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,710 : 128,744 = 128,744 : x
  2. Step 2: Convert to fraction form
    59,710/128,744 = 128,744/x
  3. Step 3: Cross multiply
    59,710x = 128,744 × 128,744
  4. Step 4: Simplify right side
    59,710x = 16,575,017,536
  5. Step 5: Solve for x
    x = 16,575,017,536/59,710
  6. Step 6: Final answer
    x = 277,591.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.