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Finding the Third Proportional to 450,198 and 686,731.50

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Solution

The third proportional to 450,198 and 686,731.50 is: 1,047,539.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,198 : 686,731.50 = 686,731.50 : x
  2. Step 2: Convert to fraction form
    450,198/686,731.50 = 686,731.50/x
  3. Step 3: Cross multiply
    450,198x = 686,731.50 × 686,731.50
  4. Step 4: Simplify right side
    450,198x = 471,600,153,092.25
  5. Step 5: Solve for x
    x = 471,600,153,092.25/450,198
  6. Step 6: Final answer
    x = 1,047,539.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.