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Finding the Third Proportional to 315,564 and 679,242

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Solution

The third proportional to 315,564 and 679,242 is: 1,462,047.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,564 : 679,242 = 679,242 : x
  2. Step 2: Convert to fraction form
    315,564/679,242 = 679,242/x
  3. Step 3: Cross multiply
    315,564x = 679,242 × 679,242
  4. Step 4: Simplify right side
    315,564x = 461,369,694,564
  5. Step 5: Solve for x
    x = 461,369,694,564/315,564
  6. Step 6: Final answer
    x = 1,462,047.94

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.