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Finding the Third Proportional to 450,138 and 696,772

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Solution

The third proportional to 450,138 and 696,772 is: 1,078,538.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,138 : 696,772 = 696,772 : x
  2. Step 2: Convert to fraction form
    450,138/696,772 = 696,772/x
  3. Step 3: Cross multiply
    450,138x = 696,772 × 696,772
  4. Step 4: Simplify right side
    450,138x = 485,491,219,984
  5. Step 5: Solve for x
    x = 485,491,219,984/450,138
  6. Step 6: Final answer
    x = 1,078,538.63

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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.