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Finding the Third Proportional to 313,700 and 679,068

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Solution

The third proportional to 313,700 and 679,068 is: 1,469,981.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,700 : 679,068 = 679,068 : x
  2. Step 2: Convert to fraction form
    313,700/679,068 = 679,068/x
  3. Step 3: Cross multiply
    313,700x = 679,068 × 679,068
  4. Step 4: Simplify right side
    313,700x = 461,133,348,624
  5. Step 5: Solve for x
    x = 461,133,348,624/313,700
  6. Step 6: Final answer
    x = 1,469,981.98

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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.