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Finding the Third Proportional to 659,728 and 987,852

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Solution

The third proportional to 659,728 and 987,852 is: 1,479,172.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,728 : 987,852 = 987,852 : x
  2. Step 2: Convert to fraction form
    659,728/987,852 = 987,852/x
  3. Step 3: Cross multiply
    659,728x = 987,852 × 987,852
  4. Step 4: Simplify right side
    659,728x = 975,851,573,904
  5. Step 5: Solve for x
    x = 975,851,573,904/659,728
  6. Step 6: Final answer
    x = 1,479,172.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.