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Finding the Third Proportional to 315,240 and 682,944

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Solution

The third proportional to 315,240 and 682,944 is: 1,479,547.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,240 : 682,944 = 682,944 : x
  2. Step 2: Convert to fraction form
    315,240/682,944 = 682,944/x
  3. Step 3: Cross multiply
    315,240x = 682,944 × 682,944
  4. Step 4: Simplify right side
    315,240x = 466,412,507,136
  5. Step 5: Solve for x
    x = 466,412,507,136/315,240
  6. Step 6: Final answer
    x = 1,479,547.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.