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Finding the Third Proportional to 442,928.25 and 669,677.63

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Solution

The third proportional to 442,928.25 and 669,677.63 is: 1,012,507.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,928.25 : 669,677.63 = 669,677.63 : x
  2. Step 2: Convert to fraction form
    442,928.25/669,677.63 = 669,677.63/x
  3. Step 3: Cross multiply
    442,928.25x = 669,677.63 × 669,677.63
  4. Step 4: Simplify right side
    442,928.25x = 448,468,121,425.64
  5. Step 5: Solve for x
    x = 448,468,121,425.64/442,928.25
  6. Step 6: Final answer
    x = 1,012,507.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.