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Finding the Third Proportional to 55,592 and 128,588

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Solution

The third proportional to 55,592 and 128,588 is: 297,432.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,592 : 128,588 = 128,588 : x
  2. Step 2: Convert to fraction form
    55,592/128,588 = 128,588/x
  3. Step 3: Cross multiply
    55,592x = 128,588 × 128,588
  4. Step 4: Simplify right side
    55,592x = 16,534,873,744
  5. Step 5: Solve for x
    x = 16,534,873,744/55,592
  6. Step 6: Final answer
    x = 297,432.61

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.