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Finding the Third Proportional to 315,972 and 701,928

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Solution

The third proportional to 315,972 and 701,928 is: 1,559,324.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,972 : 701,928 = 701,928 : x
  2. Step 2: Convert to fraction form
    315,972/701,928 = 701,928/x
  3. Step 3: Cross multiply
    315,972x = 701,928 × 701,928
  4. Step 4: Simplify right side
    315,972x = 492,702,917,184
  5. Step 5: Solve for x
    x = 492,702,917,184/315,972
  6. Step 6: Final answer
    x = 1,559,324.61

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.