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Finding the Third Proportional to 315,024 and 679,822

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Solution

The third proportional to 315,024 and 679,822 is: 1,467,056.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,024 : 679,822 = 679,822 : x
  2. Step 2: Convert to fraction form
    315,024/679,822 = 679,822/x
  3. Step 3: Cross multiply
    315,024x = 679,822 × 679,822
  4. Step 4: Simplify right side
    315,024x = 462,157,951,684
  5. Step 5: Solve for x
    x = 462,157,951,684/315,024
  6. Step 6: Final answer
    x = 1,467,056.32

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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.