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Finding the Third Proportional to 426,386 and 987,197

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Solution

The third proportional to 426,386 and 987,197 is: 2,285,623.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,386 : 987,197 = 987,197 : x
  2. Step 2: Convert to fraction form
    426,386/987,197 = 987,197/x
  3. Step 3: Cross multiply
    426,386x = 987,197 × 987,197
  4. Step 4: Simplify right side
    426,386x = 974,557,916,809
  5. Step 5: Solve for x
    x = 974,557,916,809/426,386
  6. Step 6: Final answer
    x = 2,285,623.63

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.