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Finding the Third Proportional to 647,520 and 982,944

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Solution

The third proportional to 647,520 and 982,944 is: 1,492,122.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,520 : 982,944 = 982,944 : x
  2. Step 2: Convert to fraction form
    647,520/982,944 = 982,944/x
  3. Step 3: Cross multiply
    647,520x = 982,944 × 982,944
  4. Step 4: Simplify right side
    647,520x = 966,178,907,136
  5. Step 5: Solve for x
    x = 966,178,907,136/647,520
  6. Step 6: Final answer
    x = 1,492,122.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.