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Finding the Third Proportional to 58,668 and 128,595

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Solution

The third proportional to 58,668 and 128,595 is: 281,868.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,668 : 128,595 = 128,595 : x
  2. Step 2: Convert to fraction form
    58,668/128,595 = 128,595/x
  3. Step 3: Cross multiply
    58,668x = 128,595 × 128,595
  4. Step 4: Simplify right side
    58,668x = 16,536,674,025
  5. Step 5: Solve for x
    x = 16,536,674,025/58,668
  6. Step 6: Final answer
    x = 281,868.72

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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.