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Finding the Third Proportional to 59,732 and 128,318

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Solution

The third proportional to 59,732 and 128,318 is: 275,656.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,732 : 128,318 = 128,318 : x
  2. Step 2: Convert to fraction form
    59,732/128,318 = 128,318/x
  3. Step 3: Cross multiply
    59,732x = 128,318 × 128,318
  4. Step 4: Simplify right side
    59,732x = 16,465,509,124
  5. Step 5: Solve for x
    x = 16,465,509,124/59,732
  6. Step 6: Final answer
    x = 275,656.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.