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Finding the Third Proportional to 313,127 and 697,969

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Solution

The third proportional to 313,127 and 697,969 is: 1,555,792.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,127 : 697,969 = 697,969 : x
  2. Step 2: Convert to fraction form
    313,127/697,969 = 697,969/x
  3. Step 3: Cross multiply
    313,127x = 697,969 × 697,969
  4. Step 4: Simplify right side
    313,127x = 487,160,724,961
  5. Step 5: Solve for x
    x = 487,160,724,961/313,127
  6. Step 6: Final answer
    x = 1,555,792.78

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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.