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Finding the Third Proportional to 453,867 and 987,570

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Solution

The third proportional to 453,867 and 987,570 is: 2,148,855.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,867 : 987,570 = 987,570 : x
  2. Step 2: Convert to fraction form
    453,867/987,570 = 987,570/x
  3. Step 3: Cross multiply
    453,867x = 987,570 × 987,570
  4. Step 4: Simplify right side
    453,867x = 975,294,504,900
  5. Step 5: Solve for x
    x = 975,294,504,900/453,867
  6. Step 6: Final answer
    x = 2,148,855.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.