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Finding the Third Proportional to 451,520 and 986,992

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Solution

The third proportional to 451,520 and 986,992 is: 2,157,497.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,520 : 986,992 = 986,992 : x
  2. Step 2: Convert to fraction form
    451,520/986,992 = 986,992/x
  3. Step 3: Cross multiply
    451,520x = 986,992 × 986,992
  4. Step 4: Simplify right side
    451,520x = 974,153,208,064
  5. Step 5: Solve for x
    x = 974,153,208,064/451,520
  6. Step 6: Final answer
    x = 2,157,497.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.