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Finding the Third Proportional to 307,300.88 and 665,145.75

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Solution

The third proportional to 307,300.88 and 665,145.75 is: 1,439,692.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,300.88 : 665,145.75 = 665,145.75 : x
  2. Step 2: Convert to fraction form
    307,300.88/665,145.75 = 665,145.75/x
  3. Step 3: Cross multiply
    307,300.88x = 665,145.75 × 665,145.75
  4. Step 4: Simplify right side
    307,300.88x = 442,418,868,743.06
  5. Step 5: Solve for x
    x = 442,418,868,743.06/307,300.88
  6. Step 6: Final answer
    x = 1,439,692.84

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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.