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Finding the Third Proportional to 312,943.50 and 675,776.25

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Solution

The third proportional to 312,943.50 and 675,776.25 is: 1,459,284.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,943.50 : 675,776.25 = 675,776.25 : x
  2. Step 2: Convert to fraction form
    312,943.50/675,776.25 = 675,776.25/x
  3. Step 3: Cross multiply
    312,943.50x = 675,776.25 × 675,776.25
  4. Step 4: Simplify right side
    312,943.50x = 456,673,540,064.06
  5. Step 5: Solve for x
    x = 456,673,540,064.06/312,943.50
  6. Step 6: Final answer
    x = 1,459,284.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.