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Finding the Third Proportional to 647,357 and 980,031

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Solution

The third proportional to 647,357 and 980,031 is: 1,483,664.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,357 : 980,031 = 980,031 : x
  2. Step 2: Convert to fraction form
    647,357/980,031 = 980,031/x
  3. Step 3: Cross multiply
    647,357x = 980,031 × 980,031
  4. Step 4: Simplify right side
    647,357x = 960,460,760,961
  5. Step 5: Solve for x
    x = 960,460,760,961/647,357
  6. Step 6: Final answer
    x = 1,483,664.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.