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Finding the Third Proportional to 637,876 and 987,684

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Solution

The third proportional to 637,876 and 987,684 is: 1,529,324.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,876 : 987,684 = 987,684 : x
  2. Step 2: Convert to fraction form
    637,876/987,684 = 987,684/x
  3. Step 3: Cross multiply
    637,876x = 987,684 × 987,684
  4. Step 4: Simplify right side
    637,876x = 975,519,683,856
  5. Step 5: Solve for x
    x = 975,519,683,856/637,876
  6. Step 6: Final answer
    x = 1,529,324.95

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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.