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Finding the Third Proportional to 312,561 and 671,724

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Solution

The third proportional to 312,561 and 671,724 is: 1,443,600.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,561 : 671,724 = 671,724 : x
  2. Step 2: Convert to fraction form
    312,561/671,724 = 671,724/x
  3. Step 3: Cross multiply
    312,561x = 671,724 × 671,724
  4. Step 4: Simplify right side
    312,561x = 451,213,132,176
  5. Step 5: Solve for x
    x = 451,213,132,176/312,561
  6. Step 6: Final answer
    x = 1,443,600.23

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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.