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Finding the Third Proportional to 315,660 and 675,729

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Solution

The third proportional to 315,660 and 675,729 is: 1,446,523.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,660 : 675,729 = 675,729 : x
  2. Step 2: Convert to fraction form
    315,660/675,729 = 675,729/x
  3. Step 3: Cross multiply
    315,660x = 675,729 × 675,729
  4. Step 4: Simplify right side
    315,660x = 456,609,681,441
  5. Step 5: Solve for x
    x = 456,609,681,441/315,660
  6. Step 6: Final answer
    x = 1,446,523.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.