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Finding the Third Proportional to 315,079.03 and 691,383.94

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Solution

The third proportional to 315,079.03 and 691,383.94 is: 1,517,116.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,079.03 : 691,383.94 = 691,383.94 : x
  2. Step 2: Convert to fraction form
    315,079.03/691,383.94 = 691,383.94/x
  3. Step 3: Cross multiply
    315,079.03x = 691,383.94 × 691,383.94
  4. Step 4: Simplify right side
    315,079.03x = 478,011,749,033.00
  5. Step 5: Solve for x
    x = 478,011,749,033.00/315,079.03
  6. Step 6: Final answer
    x = 1,517,116.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.