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Finding the Third Proportional to 458,785 and 987,878

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Solution

The third proportional to 458,785 and 987,878 is: 2,127,146.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,785 : 987,878 = 987,878 : x
  2. Step 2: Convert to fraction form
    458,785/987,878 = 987,878/x
  3. Step 3: Cross multiply
    458,785x = 987,878 × 987,878
  4. Step 4: Simplify right side
    458,785x = 975,902,942,884
  5. Step 5: Solve for x
    x = 975,902,942,884/458,785
  6. Step 6: Final answer
    x = 2,127,146.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.