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Finding the Third Proportional to 315,176 and 680,872

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Solution

The third proportional to 315,176 and 680,872 is: 1,470,881.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,176 : 680,872 = 680,872 : x
  2. Step 2: Convert to fraction form
    315,176/680,872 = 680,872/x
  3. Step 3: Cross multiply
    315,176x = 680,872 × 680,872
  4. Step 4: Simplify right side
    315,176x = 463,586,680,384
  5. Step 5: Solve for x
    x = 463,586,680,384/315,176
  6. Step 6: Final answer
    x = 1,470,881.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.