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Finding the Third Proportional to 59,005 and 128,377

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Solution

The third proportional to 59,005 and 128,377 is: 279,309.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,005 : 128,377 = 128,377 : x
  2. Step 2: Convert to fraction form
    59,005/128,377 = 128,377/x
  3. Step 3: Cross multiply
    59,005x = 128,377 × 128,377
  4. Step 4: Simplify right side
    59,005x = 16,480,654,129
  5. Step 5: Solve for x
    x = 16,480,654,129/59,005
  6. Step 6: Final answer
    x = 279,309.45

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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.