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Finding the Third Proportional to 313,140 and 698,000

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Solution

The third proportional to 313,140 and 698,000 is: 1,555,866.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,140 : 698,000 = 698,000 : x
  2. Step 2: Convert to fraction form
    313,140/698,000 = 698,000/x
  3. Step 3: Cross multiply
    313,140x = 698,000 × 698,000
  4. Step 4: Simplify right side
    313,140x = 487,204,000,000
  5. Step 5: Solve for x
    x = 487,204,000,000/313,140
  6. Step 6: Final answer
    x = 1,555,866.39

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.