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Finding the Third Proportional to 313,598 and 683,140

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Solution

The third proportional to 313,598 and 683,140 is: 1,488,148.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,598 : 683,140 = 683,140 : x
  2. Step 2: Convert to fraction form
    313,598/683,140 = 683,140/x
  3. Step 3: Cross multiply
    313,598x = 683,140 × 683,140
  4. Step 4: Simplify right side
    313,598x = 466,680,259,600
  5. Step 5: Solve for x
    x = 466,680,259,600/313,598
  6. Step 6: Final answer
    x = 1,488,148.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.