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Finding the Third Proportional to 58,872 and 128,472

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Solution

The third proportional to 58,872 and 128,472 is: 280,354.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,872 : 128,472 = 128,472 : x
  2. Step 2: Convert to fraction form
    58,872/128,472 = 128,472/x
  3. Step 3: Cross multiply
    58,872x = 128,472 × 128,472
  4. Step 4: Simplify right side
    58,872x = 16,505,054,784
  5. Step 5: Solve for x
    x = 16,505,054,784/58,872
  6. Step 6: Final answer
    x = 280,354.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.