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Finding the Third Proportional to 318,077.51 and 693,313.17

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Solution

The third proportional to 318,077.51 and 693,313.17 is: 1,511,213.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,077.51 : 693,313.17 = 693,313.17 : x
  2. Step 2: Convert to fraction form
    318,077.51/693,313.17 = 693,313.17/x
  3. Step 3: Cross multiply
    318,077.51x = 693,313.17 × 693,313.17
  4. Step 4: Simplify right side
    318,077.51x = 480,683,154,295.37
  5. Step 5: Solve for x
    x = 480,683,154,295.37/318,077.51
  6. Step 6: Final answer
    x = 1,511,213.91

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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.