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Finding the Third Proportional to 314,841 and 679,435

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Solution

The third proportional to 314,841 and 679,435 is: 1,466,238.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,841 : 679,435 = 679,435 : x
  2. Step 2: Convert to fraction form
    314,841/679,435 = 679,435/x
  3. Step 3: Cross multiply
    314,841x = 679,435 × 679,435
  4. Step 4: Simplify right side
    314,841x = 461,631,919,225
  5. Step 5: Solve for x
    x = 461,631,919,225/314,841
  6. Step 6: Final answer
    x = 1,466,238.26

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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.