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Finding the Third Proportional to 59,299 and 128,434

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Solution

The third proportional to 59,299 and 128,434 is: 278,171.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,299 : 128,434 = 128,434 : x
  2. Step 2: Convert to fraction form
    59,299/128,434 = 128,434/x
  3. Step 3: Cross multiply
    59,299x = 128,434 × 128,434
  4. Step 4: Simplify right side
    59,299x = 16,495,292,356
  5. Step 5: Solve for x
    x = 16,495,292,356/59,299
  6. Step 6: Final answer
    x = 278,171.51

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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.