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Finding the Third Proportional to 312,065 and 671,530

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Solution

The third proportional to 312,065 and 671,530 is: 1,445,059.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,065 : 671,530 = 671,530 : x
  2. Step 2: Convert to fraction form
    312,065/671,530 = 671,530/x
  3. Step 3: Cross multiply
    312,065x = 671,530 × 671,530
  4. Step 4: Simplify right side
    312,065x = 450,952,540,900
  5. Step 5: Solve for x
    x = 450,952,540,900/312,065
  6. Step 6: Final answer
    x = 1,445,059.65

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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.