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Finding the Third Proportional to 307,579.50 and 665,689.50

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Solution

The third proportional to 307,579.50 and 665,689.50 is: 1,440,741.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,579.50 : 665,689.50 = 665,689.50 : x
  2. Step 2: Convert to fraction form
    307,579.50/665,689.50 = 665,689.50/x
  3. Step 3: Cross multiply
    307,579.50x = 665,689.50 × 665,689.50
  4. Step 4: Simplify right side
    307,579.50x = 443,142,510,410.25
  5. Step 5: Solve for x
    x = 443,142,510,410.25/307,579.50
  6. Step 6: Final answer
    x = 1,440,741.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.