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Finding the Third Proportional to 58,609 and 128,450

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Solution

The third proportional to 58,609 and 128,450 is: 281,516.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,609 : 128,450 = 128,450 : x
  2. Step 2: Convert to fraction form
    58,609/128,450 = 128,450/x
  3. Step 3: Cross multiply
    58,609x = 128,450 × 128,450
  4. Step 4: Simplify right side
    58,609x = 16,499,402,500
  5. Step 5: Solve for x
    x = 16,499,402,500/58,609
  6. Step 6: Final answer
    x = 281,516.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.