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Finding the Third Proportional to 312,218.25 and 671,798.25

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Solution

The third proportional to 312,218.25 and 671,798.25 is: 1,445,504.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,218.25 : 671,798.25 = 671,798.25 : x
  2. Step 2: Convert to fraction form
    312,218.25/671,798.25 = 671,798.25/x
  3. Step 3: Cross multiply
    312,218.25x = 671,798.25 × 671,798.25
  4. Step 4: Simplify right side
    312,218.25x = 451,312,888,703.06
  5. Step 5: Solve for x
    x = 451,312,888,703.06/312,218.25
  6. Step 6: Final answer
    x = 1,445,504.51

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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.