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Finding the Third Proportional to 312,279.75 and 671,923.13

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Solution

The third proportional to 312,279.75 and 671,923.13 is: 1,445,757.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,279.75 : 671,923.13 = 671,923.13 : x
  2. Step 2: Convert to fraction form
    312,279.75/671,923.13 = 671,923.13/x
  3. Step 3: Cross multiply
    312,279.75x = 671,923.13 × 671,923.13
  4. Step 4: Simplify right side
    312,279.75x = 451,480,685,909.77
  5. Step 5: Solve for x
    x = 451,480,685,909.77/312,279.75
  6. Step 6: Final answer
    x = 1,445,757.16

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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.