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Finding the Third Proportional to 307,982 and 668,572

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Solution

The third proportional to 307,982 and 668,572 is: 1,451,346.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,982 : 668,572 = 668,572 : x
  2. Step 2: Convert to fraction form
    307,982/668,572 = 668,572/x
  3. Step 3: Cross multiply
    307,982x = 668,572 × 668,572
  4. Step 4: Simplify right side
    307,982x = 446,988,519,184
  5. Step 5: Solve for x
    x = 446,988,519,184/307,982
  6. Step 6: Final answer
    x = 1,451,346.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.