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Finding the Third Proportional to 58,472 and 128,608

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Solution

The third proportional to 58,472 and 128,608 is: 282,870.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,472 : 128,608 = 128,608 : x
  2. Step 2: Convert to fraction form
    58,472/128,608 = 128,608/x
  3. Step 3: Cross multiply
    58,472x = 128,608 × 128,608
  4. Step 4: Simplify right side
    58,472x = 16,540,017,664
  5. Step 5: Solve for x
    x = 16,540,017,664/58,472
  6. Step 6: Final answer
    x = 282,870.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.