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Finding the Third Proportional to 314,516 and 679,108

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Solution

The third proportional to 314,516 and 679,108 is: 1,466,340.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,516 : 679,108 = 679,108 : x
  2. Step 2: Convert to fraction form
    314,516/679,108 = 679,108/x
  3. Step 3: Cross multiply
    314,516x = 679,108 × 679,108
  4. Step 4: Simplify right side
    314,516x = 461,187,675,664
  5. Step 5: Solve for x
    x = 461,187,675,664/314,516
  6. Step 6: Final answer
    x = 1,466,340.90

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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.