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Finding the Third Proportional to 312,537.38 and 671,670

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Solution

The third proportional to 312,537.38 and 671,670 is: 1,443,477.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,537.38 : 671,670 = 671,670 : x
  2. Step 2: Convert to fraction form
    312,537.38/671,670 = 671,670/x
  3. Step 3: Cross multiply
    312,537.38x = 671,670 × 671,670
  4. Step 4: Simplify right side
    312,537.38x = 451,140,588,900
  5. Step 5: Solve for x
    x = 451,140,588,900/312,537.38
  6. Step 6: Final answer
    x = 1,443,477.24

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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.