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Finding the Third Proportional to 60,128 and 128,600

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Solution

The third proportional to 60,128 and 128,600 is: 275,045.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,128 : 128,600 = 128,600 : x
  2. Step 2: Convert to fraction form
    60,128/128,600 = 128,600/x
  3. Step 3: Cross multiply
    60,128x = 128,600 × 128,600
  4. Step 4: Simplify right side
    60,128x = 16,537,960,000
  5. Step 5: Solve for x
    x = 16,537,960,000/60,128
  6. Step 6: Final answer
    x = 275,045.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.