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Finding the Third Proportional to 312,160 and 671,666

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Solution

The third proportional to 312,160 and 671,666 is: 1,445,205.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,160 : 671,666 = 671,666 : x
  2. Step 2: Convert to fraction form
    312,160/671,666 = 671,666/x
  3. Step 3: Cross multiply
    312,160x = 671,666 × 671,666
  4. Step 4: Simplify right side
    312,160x = 451,135,215,556
  5. Step 5: Solve for x
    x = 451,135,215,556/312,160
  6. Step 6: Final answer
    x = 1,445,205.07

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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.