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Finding the Third Proportional to 59,319 and 128,844

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Solution

The third proportional to 59,319 and 128,844 is: 279,855.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,319 : 128,844 = 128,844 : x
  2. Step 2: Convert to fraction form
    59,319/128,844 = 128,844/x
  3. Step 3: Cross multiply
    59,319x = 128,844 × 128,844
  4. Step 4: Simplify right side
    59,319x = 16,600,776,336
  5. Step 5: Solve for x
    x = 16,600,776,336/59,319
  6. Step 6: Final answer
    x = 279,855.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.