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Finding the Third Proportional to 58,704 and 128,670

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Solution

The third proportional to 58,704 and 128,670 is: 282,024.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,704 : 128,670 = 128,670 : x
  2. Step 2: Convert to fraction form
    58,704/128,670 = 128,670/x
  3. Step 3: Cross multiply
    58,704x = 128,670 × 128,670
  4. Step 4: Simplify right side
    58,704x = 16,555,968,900
  5. Step 5: Solve for x
    x = 16,555,968,900/58,704
  6. Step 6: Final answer
    x = 282,024.55

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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.