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Finding the Third Proportional to 314,787.75 and 687,201

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Solution

The third proportional to 314,787.75 and 687,201 is: 1,500,202.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,787.75 : 687,201 = 687,201 : x
  2. Step 2: Convert to fraction form
    314,787.75/687,201 = 687,201/x
  3. Step 3: Cross multiply
    314,787.75x = 687,201 × 687,201
  4. Step 4: Simplify right side
    314,787.75x = 472,245,214,401
  5. Step 5: Solve for x
    x = 472,245,214,401/314,787.75
  6. Step 6: Final answer
    x = 1,500,202.01

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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.