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Finding the Third Proportional to 59,292 and 128,425

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Solution

The third proportional to 59,292 and 128,425 is: 278,165.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,292 : 128,425 = 128,425 : x
  2. Step 2: Convert to fraction form
    59,292/128,425 = 128,425/x
  3. Step 3: Cross multiply
    59,292x = 128,425 × 128,425
  4. Step 4: Simplify right side
    59,292x = 16,492,980,625
  5. Step 5: Solve for x
    x = 16,492,980,625/59,292
  6. Step 6: Final answer
    x = 278,165.36

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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.