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Finding the Third Proportional to 312,083.19 and 671,528.60

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Solution

The third proportional to 312,083.19 and 671,528.60 is: 1,444,969.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,083.19 : 671,528.60 = 671,528.60 : x
  2. Step 2: Convert to fraction form
    312,083.19/671,528.60 = 671,528.60/x
  3. Step 3: Cross multiply
    312,083.19x = 671,528.60 × 671,528.60
  4. Step 4: Simplify right side
    312,083.19x = 450,950,662,716.49
  5. Step 5: Solve for x
    x = 450,950,662,716.49/312,083.19
  6. Step 6: Final answer
    x = 1,444,969.40

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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.