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Finding the Third Proportional to 450,120 and 696,747

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Solution

The third proportional to 450,120 and 696,747 is: 1,078,504.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,120 : 696,747 = 696,747 : x
  2. Step 2: Convert to fraction form
    450,120/696,747 = 696,747/x
  3. Step 3: Cross multiply
    450,120x = 696,747 × 696,747
  4. Step 4: Simplify right side
    450,120x = 485,456,382,009
  5. Step 5: Solve for x
    x = 485,456,382,009/450,120
  6. Step 6: Final answer
    x = 1,078,504.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.